Targeting Grade C

1
GCSE Mathematics
Targeting Grade C
Number Unit 2 Fractions
2

• Can you
• Add and subtract fractions
• Multiply and divide fractions
• Try a test
• Find fractions of amounts
• Try a test

TOP Review equivalent fractions Practice 1
Add and subtract fractions Practice 2 Multiply
and divide fractions Test 1 Practice 3 Find
fractions of amounts Test 2
3

• TOP Write down two equivalent fractions for the
  following
• ½
• ¼
• 2/3
• 6/8
• Write the following in their lowest terms
• 10/15
• 36/45
• 12/20
• 6/8
• 26/4
• 32/9
• 15/6
• 24/5

Equivalent fractions are found by multiplying the
numerator and denominator by the same value OR
dividing the numerator and denominator by the
same value!
Lowest terms can also be written as simplest form
or cancel down.
Fractions with a bigger number on the top are
called improper fractions and cancel down into
mixed numbers (a whole number with a fraction).
Lesson
4

• Practice 1 Complete the following problems
• ¼ 2/4
• ½ ¼
• (3) 2/3 2/5
• (4) 5/8 3/5
• (5) 9/14 2/7
• (6) 7/20 3/10
• (7) 16/25 8/10
• (8) 3 ½ 2 2/3
• (9) 7 ¾ - 4 1/5
• (10) 10 2/5 6 ¾
• (11) 20/24 2 3/8
• (12) 15 7/8 11 ¾

Remember to add or subtract fractions the
denominator MUST be the same use equivalent
fractions to help you!
When adding or subtracting mixed numbers,
add/subtract the whole numbers first, then do the
fractions, then put back together!
Keep an eye out for those negative fractions!
Lesson
5

• Practice 2 Now try these multiplication and
  division problems
• ½ ? ¾
• (2) 2/5 ? ¼
• (3) 3/7 ? 4/5
• (4) 9/14 ? 4/7
• (5) 7/12 ? 2/3
• (6) 6/7 ? 9/10
• (7) 9/11 ? 3/22
• (8) 3 ½ ? 2 ¼
• (9) 4 2/5 ? 2 3/8
• (10) 6 1/3 ? 2 ¾
• (11) 3 3/5 ? 4 1/6
• (12) 4 2/7 ? 7/12

REMEMBER these three rules!
For ? and ? DO NOT find a common denominator
simply do top ? top and bottom ? bottom!
You CANNOT divide fractions change the ? into a
? and turn the fraction following the sign upside
down (into its reciprocal)!
DO NOT multiply/divide the whole numbers
separately make your mixed numbers into
improper fractions, then multiply/divide as
normal!
Lesson
6
Are you ready for the answers ?
Test 1

• ¾ - ½

¼
8/15
2/5 ? ¾
1 ½ ? 3/7
9/14
1/5 2/3
13/15
2 3/5 ? 1 2/9
2 7/55
4 5/8 2 ½
2 1/8
3 47/81
3 2/9 ? 27/30
5/8 ? 1/3
5/24
3 4/9 2 5/18
5 13/18
Lesson
2 5/7 ? 3 1/3
9 1/21
7

• Practice 3 Find the fractions of the following
  amounts
• ½ of 30
• ¾ of 24kg
• 2/5 of 120m
• 7/8 of 36km
• 9/10 of 65
• 5/8 of 96 miles

Divide by the denominator and multiply by the
numerator OR multiply by the numerator and divide
by the denominator.
Lesson
8
Test 2
(1) 6.00

• Find 5/8 of 9.60
• Find 3/5 of 35 metres
• Ann wins 160. She gives ¼ of the money to Pat,
  3/8 to John and 28 to Peter. What fraction of
  the 160 does Ann keep? Give your fraction in
  its simplest form.
• A hotel has 72 rooms. Work out the number of
  rooms that are not empty.
• (a) 3 2/3 ¾
• (b) 4/5 2/3
• (c) 3/5 ¼
• (d) 2 ½ - 4/5

(2) 21 metres
(3) ¼ of 160 40 3/8 of 160 60
40 60 28 128 160 -128 32 32/160
1/5

(4) 72 / 8 3 27 72 27 45
(5) (a) 3 8/12 9/12 3 17/12 4 5/12
(b) 8/15 (c) 3/5 4/1 12/5 2 2/5
(d) 2 5/10 8/10 2 3/10 1 7/10
Are you ready for the answers ?
Lesson