Question

How do you convert $\dfrac{3}{{10}}$ to a decimal?

Answer 1

Hint: It is always better to look at the denominator first when we need to convert a fraction into decimal. If a denominator only has $2$ and $5$ as prime factors, one way of writing a fraction as a decimal is to change the fraction so the denominator is a power of $10$ . In case it has a prime factor other than $2$ and $5$ , conversion to decimal could be longer and will result in an infinite loop with repeating decimals.
However, the denominator is a power of $10$ so the method works for us.

Complete step by step solution:
According to the given information, we need to turn $\dfrac{3}{{10}}$ to a decimal.
One possible way to rewrite $\dfrac{3}{{10}}$ is $3$÷10
On dividing both the numbers, we get
$\dfrac{3}{{10}} = 0.3$
Therefore,
$\dfrac{3}{{10}}$ can be written as $0.3$ in decimal form.

Note: You can convert all fractions to decimals. The decimal forms of rational numbers either end or repeat a pattern. Mathematically, to convert a fraction to a decimal number means to perform the mathematical division of the numerator by the denominator.