What is 7/10 as a decimal?

Answer: 710\frac{\textbf{7}}{\textbf{10}} as a decimal is 0.7

Solve using the Division Method

A fraction is made up of two parts: the numerator, which is the number on top, and the denominator, which is the number on the bottom. We can find the decimal equivalent by dividing the numerator 7 by the denominator 10.

7 (numerator) ÷ 10 (denominator) = 0.7

This division gives us the decimal equivalent of the fraction.

So, when you change 710\frac{7}{10} to a decimal, your answer will be 0.7

The following animation demonstrates the Division method,

undefined 7 0 . 1 0 7 . 0 - 0 7 0 - 7 0 0 Quotient Dividend Divisor Remainder 7 ÷ 10 = 0.7 ©AskMathGuru
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Factor of Power of 10 Method

Sometimes, dividing a number by a power of 10, like 10, 100, 1000, etc., is straightforward because you just move the decimal place to the left by the number of zeros in the power of 10. However, in this case, the denominator, 10, isn’t a power of 10.

But don't worry, we can adjust the fraction. If the denominator is a factor of a power of 10, such as 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80 and so on, then we can transform the fraction into one that is easy to calculate.

To do this, we aim to make the denominator a power of 10. By multiplying the denominator by 1, denoted as (10 * 1 = 10), we achieve this. Since we multiplied the denominator by 1, we must also multiply the numerator by 1 as well:

7×110×1=710=0.7\frac{7 \times 1}{10 \times 1} = \frac{7}{10} = 0.7

In the end, your answer becomes 0.7 when you convert 710\frac{7}{10} to a decimal.

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