PN.5B, sec 3, Real apps (50)

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A carpenter is cutting wooden planks 🪚.

Each plank is $\frac{7}{8}$ of a metre long.

He needs only $\frac{3}{7}$ of each plank for a small project.

What fraction of a metre is each piece?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

An electronics technician has $1\frac{1}{4}$ metres of wire.

He will use $\frac{2}{3}$ of that wire for a circuit.

How many metres of wire are used?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A soldier 🎖️ has $\frac{2}{5}$ of a ration.

Each meal uses $\frac{1}{5}$ of a ration.

How many meals can be made?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A soldier 🎖️ has $\frac{3}{5}$ of a ration.

Each meal uses $\frac{1}{5}$ of a ration.

How many meals can be made?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A baker is preparing dough 🍞.

One batch uses $\frac{4}{9}$ of a bag of flour.

They only need $\frac{2}{3}$ of a batch for a small order.

How much of a bag of flour is used?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A mechanical engineer 🔧 is refining a component weighing $\frac{2}{3}$ kilograms.

She discards $\frac{1}{6}$ of that weight.

How many kilograms are discarded?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

An aviation student ✈️ has $\frac{4}{7}$ tank of fuel.

Each short flight uses $\frac{5}{7}$ of a tank.

How many flights can be made?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A science lab 🧪 has $\frac{6}{7}$ of a solution.

Each test tube needs $\frac{1}{7}$ of a solution.

How many tubes can be prepared?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

You’re painting a large fence outside.

One tin of paint covers $\frac{3}{4}$ of the fence.

You decide to paint only $\frac{2}{3}$ of that area today.

How much of the fence will you paint in total?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A pilot ✈️ schedules $3\frac{1}{2}$ hours of flight training.

They complete $\frac{4}{5}$ of that flight time.

How many hours are actually flown?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A public services course 🏛️ has $\frac{3}{8}$ of its materials printed.

Each module is $\frac{1}{8}$ of the total.

How many modules can be supplied?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A pilot ✈️ has $1\frac{2}{3}$ tanks of fuel.

Each short flight uses $2\frac{1}{6}$ tanks.

How many flights are possible?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

You’re a nurse preparing an IV drip 💉.

A full bag holds $\frac{5}{6}$ litre of solution.

You only need $\frac{3}{5}$ of that bag for a patient.

What fraction of a litre are you administering?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A science lab 🔬 has a beaker $\frac{5}{8}$ full of fluid.

Researchers extract $\frac{1}{5}$ of that fluid for analysis.

What fraction of the beaker is extracted?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

An engineer ⚙️ has $\frac{2}{3}$ of a cable.

Each section is $\frac{1}{9}$ of a cable.

How many sections can be made?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

In a science experiment 🧪, you have a sample that’s $\frac{4}{7}$ filled with liquid.

You remove $\frac{1}{2}$ of that amount to test.

What fraction of the container’s full capacity do you test?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A robotics engineer 🤖 runs $2\frac{1}{2}$ trials, each taking $1\frac{3}{4}$ hours. How many hours in total?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A plumber 🛠️ has $1\frac{1}{3}$ lengths of pipe.

Each project needs $2\frac{1}{2}$ lengths.

How many projects can be completed?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A plumber 🛠️ has a pipe that is $\frac{3}{5}$ full.

They drain $\frac{2}{3}$ of that water.

What fraction of the entire pipe is drained?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A pilot ✈️ performs $3\frac{1}{6}$ practice landings, each requiring $2\frac{1}{3}$ hours. How many hours in total?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A soldier 🎖️ has $\frac{3}{4}$ of a ration.

Each meal uses $\frac{5}{6}$ of a ration.

How many meals can be prepared?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A nurse 🩺 has $2\frac{1}{2}$ vials of a vaccine.

They use $\frac{3}{5}$ of those vials for patients.

How many vials is that in total?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

An engineer ⚙️ tests $1\frac{4}{5}$ prototypes, each using $2\frac{1}{4}$ hours of machine time. How many hours of machine time are used in total?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A pilot ✈️ has $1\frac{2}{3}$ tanks of fuel.

Each short flight uses $2\frac{1}{6}$ tanks.

How many flights are possible?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

An engineer ⚙️ is reviewing a design that’s $\frac{4}{7}$ complete.

They finalize $\frac{3}{4}$ of that remaining work.

What fraction of the entire design is finalized?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A science lab 🔬 prepares $2\frac{3}{5}$ batches of chemicals, each batch weighs $1\frac{1}{2}$ kilograms. How many kilograms in total?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A paramedic 🏥 has $\frac{4}{5}$ of a medical kit.

Each patient requires $\frac{1}{5}$ of a kit.

How many patients can be helped?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A public service officer 🚓 has $1\frac{1}{4}$ hours to patrol.

They will patrol $\frac{2}{3}$ of that time in one area.

How many hours is that?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A paramedic 🏥 stocks $1\frac{2}{5}$ first-aid kits, each requiring $2\frac{1}{6}$ litres of disinfectant. How many litres total?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A plumber 🛠️ has $2\frac{1}{2}$ lengths of pipe.

Each task needs $\frac{3}{4}$ of a length.

How many tasks can be completed?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A soldier 🎖️ has rations that fill $\frac{5}{8}$ of a backpack.

They consume $\frac{3}{5}$ of that amount in one meal.

What fraction of the backpack’s capacity is used?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A paramedic has $\frac{2}{3}$ of a medical bag left.

Each patient requires $\frac{1}{6}$ of a bag.

How many patients can be treated?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A pilot ✈️ has $\frac{7}{10}$ tank of fuel.

Each practice run uses $\frac{2}{5}$ of a tank.

How many runs are possible?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A pilot ✈️ has $2\frac{3}{4}$ hours of flight time scheduled.

They only complete $\frac{4}{5}$ of that.

How many hours are flown?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A soldier 🎖️ has $\frac{3}{5}$ of a ration pack.

Each squad member needs $\frac{1}{5}$ of a pack.

How many members can be served?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

An engineer ⚙️ has $1\frac{2}{3}$ sheets of metal.

Each component needs $2\frac{1}{3}$ sheets.

How many components can be built?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

In a science lab 🔬, a chemical tank is $\frac{3}{7}$ full.

Scientists use $\frac{2}{3}$ of that for experiments.

What fraction of the full tank is used?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

An engineer ⚙️ has $\frac{4}{7}$ of a metal rod.

Each piece must be $\frac{2}{7}$ of a rod.

How many pieces can be cut?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A soldier 🎖️ has $\frac{4}{9}$ of a ration.

Each portion needs $1\frac{1}{9}$ ration.

what fraction of a portion can be made?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

In a physics ⚛️ demo, a wave has $1\frac{3}{8}$ units of amplitude.

A sensor captures $\frac{3}{4}$ of that amplitude.

How many units are detected?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A pilot ✈️ has $\frac{3}{4}$ tank of fuel.

Each short flight uses $\frac{1}{8}$ of a tank.

How many short flights can be made?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A chef 🍳 has $\frac{5}{6}$ of a bowl of dough.

Each portion is $\frac{1}{6}$ of a bowl.

How many portions can be made?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

At home 🏡, a water jug is $\frac{5}{9}$ full.

A family member drinks $\frac{2}{5}$ of that amount.

What fraction of the jug is consumed?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A science lab 🔬 has $\frac{5}{6}$ of a test solution.

Each sample tube needs $\frac{1}{6}$ of a tube.

How many sample tubes can be prepared?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A nurse 🏥 has $\frac{3}{4}$ of a bag of medication.

Each dose uses $\frac{1}{4}$ of a bag.

How many doses can be given?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A paramedic 🚑 has $3\frac{1}{6}$ pints of plasma.

They use $\frac{4}{5}$ of it in an emergency.

How many pints are used?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

An engineer ⚙️ has $\frac{2}{3}$ of a metal sheet.

Each cut piece is $\frac{1}{8}$ of a sheet.

How many pieces can be made?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

An engineer ⚙️ has $\frac{4}{5}$ of a metal sheet.

Each part requires $\frac{1}{5}$ of a sheet.

How many parts can be produced?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A robotics engineer 🤖 tests a servo that moves $\frac{4}{5}$ of its range.

She uses $\frac{3}{4}$ of that movement during calibration.

What fraction of the total range is used?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A plumber 🛠️ has $\frac{3}{5}$ of a pipe.

Each repair uses $\frac{1}{5}$ of a pipe.

How many repairs can be done?

Topic: Practical Applications.

Please have pen and paper handy to show workings out. 📝

A pilot ✈️ has $\frac{5}{6}$ tank of fuel.

Each short flight uses $\frac{1}{6}$ tank.

How many flights are possible?