You may have already looked at representing and comparing fractions as areas. You may also have looked at how to write number sentences from stories with whole numbers. Remember that we can look for key words to tell us what operator to use.

Now watch this video to look at representing fractions with number sentences.

Once you've written a number sentence, you can solve it to find the final answer. For example, you may need to add or subtract the fractions.

Remember!

Underline the key words to help understand the mathematics in the story.

A number sentence is a way to represent the mathematics with symbols.

Worked Examples

Question 1

Hannah had climbed oneseventh of the ladder to the roof when she realised she'd forgotten her phone, so went back down to get it.

Complete the number sentence that describes how far in total Hannah has climbed once she has returned to the bottom of the ladder.

Hannah has climbed $\editable{}$seventhplus$\editable{}$seventh of the length of the ladder.

Question 2

Which of the following scenarios fits the number sentence:

"Bob is now $15$15nineteenths minus$7$7nineteenths of a kilometre away from where he started."

Bob walked fifteennineteenths of a kilometre, rested and then walked sevennineteenths of a kilometre back.

A

Bob walked fifteennineteenths of a kilometre, rested and then walked sevennineteenths of a kilometre further.

B

Bob walked sevennineteenths of a kilometre, rested and then walked fifteennineteenths of a kilometre back.

C

Bob walked fifteennineteenths of a kilometre, rested and then walked onenineteenth of a kilometre back.

D

Bob walked fifteennineteenths of a kilometre, rested and then walked sevennineteenths of a kilometre back.

A

Bob walked fifteennineteenths of a kilometre, rested and then walked sevennineteenths of a kilometre further.

B

Bob walked sevennineteenths of a kilometre, rested and then walked fifteennineteenths of a kilometre back.

C

Bob walked fifteennineteenths of a kilometre, rested and then walked onenineteenth of a kilometre back.

D

Question 3

Lachlan throws a ball and it hits the ground fourelevenths of a metre away from him. The ball then rolls a further twelveelevenths of a metre away and stops.

Complete the number sentence that describes how far away the ball is from Lachlan.

The ball is $\frac{\editable{}}{\editable{}}+\frac{\editable{}}{\editable{}}$+ of a metre away from Lachlan.