(Mathematics 5)

Ordering fractions

In groups of four:

Arrange the fractions $\frac{2}{3},$ $\frac{3}{4}$ and $\frac{5}{12}$ from the smallest to the largest.

Divide the first line into 3 equal parts and show $\frac{2}{3} .$
Divide the second line into 4 equal parts and show $\frac{3}{4} .$
Divide the third line into 12 equal parts and show $\frac{5}{12} .$
Compare the fractions. Arrange the fractions from smallest to the largest.

Arrange the fractions, $\frac{4}{5},$ $\frac{1}{2},$ $\frac{4}{10}$ and $\frac{3}{5}$ in an increasing order.

From the number lines, the increasing order is:

$\frac{4}{10},$ $\frac{1}{2},$ $\frac{3}{5},$ $\frac{4}{5}$

$\frac{1}{2} = \frac{5}{10},$ $\frac{3}{5} = \frac{6}{10},$ $\frac{4}{5} = \frac{8}{10}$

Increasing order is $\frac{4}{10},$ $\frac{1}{2},$ $\frac{3}{5},$ $\frac{4}{5}$

The decreasing order is $\frac{4}{5},$ $\frac{3}{5},$ $\frac{1}{2},$ $\frac{4}{10}$

Exercise D

$\frac{1}{2},$ $\frac{2}{3},$ $\frac{5}{6},$ $\frac{7}{12}$

The fractions from the smallest to the largest:

A cake was divided into the following fractions: $\frac{1}{3},$ $\frac{1}{2}$ and $\frac{1}{6} .$

Fractions in an increasing order:

Yator divided his piece of land into the following fractions: $\frac{1}{10},$ $\frac{1}{2}$ and $\frac{2}{5} .$

Fractions in an decreasing order: