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'Fractions Made Faster' printed from https://nrich.maths.org/
Congratulations to Cong, Katie and Charlie
and also Josie, Dominic and George from St Nicolas CE Junior
School, who all sent in correct solutions to this
problem.
George has this to say on finding the larger of two fractions: What
you have to do is look at the two fractions and look which is
nearest to the right hand side of the wall. Then to find out by how
much, you just look at the fraction wall and see which fraction
will go in between the two fractions.
Katie's solution can be viewed by
clicking here
.
Charlie summarises the solution as
follows:
$\frac{1}{3}$ is $\frac{2}{24}$ or $\frac{1}{12}$ bigger than
$\frac{2}{8}$
$\frac{3}{4}$ is $\frac{1}{12}$ smaller than $\frac{5}{6}$
$\frac{1}{3}$ is $\frac{3}{6}$ or $\frac{1}{2}$ smaller than
$\frac{5}{6}$
$\frac{3}{4}$ of $\frac{2}{3} = \frac{3}{4}$ of $\frac{8}{12 }=
\frac{6}{12} = \frac{1}{2}$