# 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? 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

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