Fractions

Show that 

There are  children in a club.

In the club, the ratio of the number of girls to the number of boys is 

of the girls play a musical instrument.

of the boys play a musical instrument.

What fraction of the  children play a musical instrument?

Show that 

Each month Edna spends all her income on rent, on travel and on other living expenses.

She spends  of her income on rent.

She spends  of her income on travel.

She spends  of her income on other living expenses.

Work out her income each month.

A ball is thrown from a height of 15 metres.

It bounces to height , then to height  as shown.

 is three quarters of the original height.

Jack expects  to be three quarters of 

Work out the value of  that he expects.

.........................metres

In fact,  is two thirds of 

How does this affect the answer to part (a)?
Tick a box.

     The ball bounced higher than he expected

       The ball bounced lower than he expected

Show working to support your answer.

Without using a calculator, work out .
You must show all your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out  .
You must show all your working and give your answer as a mixed number in its simplest form.

Without using a calculator, work out .
You must show all your working and give your answer as a mixed number in its simplest form.

Without using a calculator, work out 

You must show all your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out
You must show all your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out .
You must show all your working and give your answer as a fraction in its simplest form.

Without using your calculator, work out  .
You must show all your working and give your answer as a mixed number in its simplest form.

Without using a calculator, work out  .
You must show all your working and give your answer as a fraction in its simplest form.

Without using a calculator, workout  .
You must show all your working and give your answer as a mixed number in its simplest form.

Without using a calculator, work out  . 
You must show all your working and give your answer as a mixed number in its simplest form. 

Without using a calculator, work out .
You must show all your working and give your answer as a mixed number in its simplest form.

Without using your calculator, work out  .
You must show all your working and give your answer as a fraction in its simplest form.

Without using your calculator, work out  .
You must show all your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out .

You must show all your working and give your answer as a fraction in its simplest form.

Show that

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Circle the number half way between   and 

In a school,  of the students study a language.
Of those students who study a language,  study Spanish.

Find the ratio of students who study Spanish to students who do not study Spanish.

A unit fraction has a numerator equal to 1, for example  and .

Unit fractions can be written as the sum of two different unit fractions, for example

Write each of the following unit fractions as the sum of two different unit fractions.

Without using a calculator, work out  .
Write down all the steps of your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out 
You must show all your working and give your answer as a mixed number in its simplest form.

Giulio’s reaction times are measured in two games.
In the first game his reaction time is  of a second.
In the second game his reaction time is  of a second.
 
Find the difference between the two reaction times.
 

.................................................. s

Without using a calculator, work out .
You must show all your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out  .
Write down all the steps of your working and give your answer as a fraction in its simplest form.

Without using a calculator, work out  .
You must show all your working and give your answer as a fraction.

Collette has $136 and spends half of her money on clothes and of her money on books.

Calculate the amount she has left.

$ ...............................................

Without using your calculator, work out .

You must show all your working and give your answer as a fraction in its simplest form.

Without using your calculator, work out .
You must show all your working and give your answer as a mixed number in its simplest form.