Decimal

# What is 5/8 as a decimal?

## 5/8 as a decimal is 0.625

## Solution

- Observe that the fraction is converted to its decimal form on the other side.- The number on the top of the fraction is called the numerator and the number at the bottom is the denominator.- Divide the numerator by the denominator using the long division method.

## Steps for division

- Write the numerator 5 as the dividend and the denominator 8 as the divisor.- Since 8 > 5, place a decimal point in the quotient and add 0 to make it 50.- 8 divides 50 six times to give 48.- Subtract 48 from 50 to get the remainder 2.- As we have already added the decimal point, we can add 0 to 2 to make it 20.- 8 divides 20 two times to give 16.- Subtract 16 from 20 to get the remainder 4.- Add 0 again to make it 40.- 8 divides 40 five times to give 40.- Subtract 40 from 40 to get the remainder 0.

Hence the solution is **0.625**.

## Remember

Here are some common terms you should be familiar with.

- In the fraction $$\frac58$$, the number 5 is the dividend (
**our numerator**) - The number 8 is our divisor (
**our denominator)**.

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