Mixed numbers and improper fractions

The Maths Habit

How much is shaded? How many ways can you say it?

2 and one third, 7 thirds, …

1. How many quarters make 1 whole?

   4

2. How many fifths make 3 wholes?

   15

3. How many thirds make 4 wholes?

   12

4. How many halves make 6 wholes?

   12

Mixed number

A whole number and a fraction together.

Improper fraction

A fraction with a numerator bigger than its denominator.

135

Write 315 as an improper fraction

11115

3 × 5 + 1 = 16, so 165

=165

Write 423 as an improper fraction

111123

4 × 3 + 2 = 14, so 143

=143

Write 315 as an improper fraction

11115

3 × 5 + 1 = 16, so 165

=165

Write 512 as an improper fraction

1111112

5 × 2 + 1 = 11, so 112

=112

Write 195 as a mixed number

11145

19 ÷ 5 = 3 remainder 4, so 345

=345

Write 133 as a mixed number

111113

13 ÷ 3 = 4 remainder 1, so 413

=413

Write 195 as a mixed number

11145

19 ÷ 5 = 3 remainder 4, so 345

=345

Write 234 as a mixed number

1111134

23 ÷ 4 = 5 remainder 3, so 534

=534

Write 195 as a mixed number

11145

19 ÷ 5 = 3 remainder 4, so 345

=345

Write 173 as a mixed number

1111123

17 ÷ 3 = 5 remainder 2, so 523

=523

Write 195 as a mixed number

11145

19 ÷ 5 = 3 remainder 4, so 345

=345

Write 238 as an improper fraction

1138

2 × 8 + 3 = 19, so 198

=198

Write 195 as a mixed number

11145

19 ÷ 5 = 3 remainder 4, so 345

=345

Write 298 as a mixed number

11158

29 ÷ 8 = 3 remainder 5, so 358

=358

Answer sheet

1. Which is bigger: 523 or 163?

   523, which is 173

2. A ribbon is cut into lengths of 16 of a metre. 25 lengths are laid end to end. How long is the line, as a mixed number?

   416 m

1. Write 327 as an improper fraction.

   237

2. Write 294 as a mixed number.

   714

3. Which is bigger, 435 or 225? Show how you know.

   435 = 235

Exit tickets to print