Challenge Level

Thanks to the many of you who submitted a solution to this problem. Congratulations to Josie, Dominic and George from St Nicholas CE Junior School, Newbury and also Abigail from Histon Junior School and Charlie from Beckley C of E who all sent in clearly explained solutions. The solution given below was sent in by Cong:

Using the image above, I can find $\frac{1}{2}$ as:

$1$ blue ($\frac{1}{2}$)

$2$ dark greens ($\frac{2}{4}$)

$3$ pinks ($\frac{3}{6}$)

$4$ light greens ($\frac{4}{8}$)

$6$ reds ($\frac{6}{12}$)

$12$ whites ($\frac{12}{24}$)

So I can also say that $$\frac{1}{2}= \frac{2}{4} = \frac{3}{6} = \frac{4}{8} = \frac{6}{12} = \frac{12}{24}$$

From the picture, I can find $\frac{1}{3}$ as:

$1$ brown ($\frac{1}{3}$)

$2$ pinks ($\frac{2}{6}$)

$4$ reds ($\frac{4}{12}$)

$8$ whites ($\frac{8}{24}$)

So I can also say that $$\frac{1}{3} = \frac{2}{6} = \frac{4}{12} = \frac{8}{24}$$

Again, using the image of the fraction wall, I can find $\frac{3}{4}$ as:

$3$ dark greens ($\frac{3}{4}$)

$6$ light greens ($\frac{6}{8}$)

$9$ reds ($\frac{9}{12}$)

$18$ whites ($\frac{18}{24}$)

So again I can say that $$\frac{3}{4}= \frac{6}{8} = \frac{9}{12} = \frac{18}{24}$$

The rule for working out equivalent fractions is to multiply the numerator and the denominator with the same whole number.