Fraction Number Lines

LI: To understand fractions as an equal part of a whole.

Today we are going to look at fractions on number lines. Look at the number lines below. Each of the number line is counting from 0 to 1 but in between the number lines is counting by fractions.

The first number line is counting by thirds. What is the second and third number lines counting by?

Make your own number lines in your maths books.

1) 0 to 1 counting by quarters.

2) 0 to 1 counting by eighths.

3) 0 to 2 counting by halves.

4) 0 to 4 counting by quarters.

5) 0 to 4 counting by thirds.

Extension – Convert the fractions to decimals or percentages.

To convert fractions to percentages we divide the numerator by the denominator, than multiply the answer by 100.

Example: Converting 3/8 to percentage.

First divide 3 by 8: 3 ÷ 8 = 0.375,
Then multiply by 100: 0.375 x 100 = 37.5
Add the “%” sign: 37.5%

Here is a table of commonly occuring values shown in Percent, Decimal and Fraction form:

Percent Decimal Fraction
1% 0.01 1/100
5% 0.05 1/20
10% 0.1 1/10
12½% 0.125 1/8
20% 0.2 1/5
25% 0.25 1/4
331/3% 0.333… 1/3
50% 0.5 1/2
75% 0.75 3/4
80% 0.8 4/5
90% 0.9 9/10
99% 0.99 99/100
100% 1
125% 1.25 5/4
150% 1.5 3/2
200% 2

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