Question

Classify the decimal expansion of each fraction as a terminating decimal or a repeating decimal.

Drag and drop the fractions into the boxes to correctly complete the table.
Terminating Decimal | Repeating Decimal

Choices $\frac{56}{72}$,$\frac{12}{30}$,$\frac{15}{40}$,$\frac{12}{37}$

Answer 1

Checking whether the given fractions are terminating or repeating decimals:

What are decimals?

A decimal is a way of writing a number that is not whole.

Decimal numbers are 'in between' numbers.

What is a repeating decimal and a terminating decimal ?

The repeating decimals got repeated after division continuously while the terminating decimal got terminated.

Therefore, we can write that:

$\frac{56}{72}$: repeating decimal
$\frac{12}{30}$: terminating decimal
$\frac{15}{40}$:terminating decimal
$\frac{12}{37}$: repeating decimal

Hence $\frac{12}{30}$,$\frac{15}{40}$, are terminating decimal and $\frac{56}{72}$,$\frac{12}{37}$ are repeating decimal .