Page 85 - Mathematics Coursebook

7.7 Finding remainders

4 Ethan uses his calculator to work out some
harder divisions. This is the method he uses. Question Work out 778 ÷ 15
Use Ethan’s method to work these out. Solution 778 ÷ 15 = 51.866...
15 goes into 778, 51 times
a 558 ÷ 12 b 342 ÷ 24 c 895 ÷ 25 15 goes into 778, 51 times
15 × 51 = 765
d 882 ÷ 23 e 852 ÷ 13 f 767 ÷ 17 15 × 51 = 765
778
778 – 765 = 13 (remainder)
5 Eleri has 97 cents credit
13
on her mobile phone. Answer = 51 15
It costs her 6 cents to send
a text message.
How many text messages
can Eleri send?
Explain how you worked
out your answer.

6 Mrs Gupta has 250 sweets to share among her class of 32 children.
Each child gets the same number of sweets. Mrs Gupta keeps the sweets that are left over.
How many sweets does Mrs Gupta keep?
Use an inverse operation to check your answer.
7 A farmer can fit 12 bales of hay on his trailer.

He has 187 bales of hay to move.
How many trips will he have to make with his trailer?
Use a method of your own choice to check your working.

Summary

You should now know that: You should be able to:
+ Equivalent fractions are equal. + Simplify fractions into equivalent fractions.
+ When a fraction is in its simplest form, it cannot + Cancel a fraction to its lowest terms or
be cancelled further. simplest form.
+ To write a fraction in its simplest form you divide + Write a terminating decimal as a fraction.
both the numerator and denominator by the + Write a percentage as a fraction.
highest common factor.
+ Recognise commonly used equivalent fractions,
+ A terminating decimal is a decimal that comes to decimals and percentages.
an end.
+ Compare fractions, using diagrams or a calculator.
+ A recurring decimal is a decimal that goes on Write improper fractions as mixed numbers and
forever. +
vice versa.
+ In a proper fraction the numerator is smaller than Add and subtract fractions when the
the denominator. +
denominators are the same.
+ In an improper fraction the numerator is bigger
than the denominator. + Add and subtract fractions when one denominator
is a multiple of the other.
+ A mixed number contains a whole-number part Find fractions of quantities and whole numbers.
and a fractional part. +
+ Write the answer to a division as a mixed number,
+ You can only add and subtract fractions when the when the answer isn’t a whole number.
denominators are the same.
+ Finding a fraction of a quantity is the same as + Round an answer up or down when solving a
problem involving remainders.
working out the fraction × the quantity.
+ Solve word problems in context.
+ When the answer to a division is not an exact
whole number, you can write the remainder as a + Work logically and draw simple conclusions.
fraction of the divisor.

84 7 Fractions