Decimal

# What is 3/5 as a decimal?

## 3/5 as a decimal is 0.6

$$\frac{\mathbf3}{\mathbf5}\boldsymbol=\frac{\boldsymbol?}{\mathbf{10}}\boldsymbol=\boldsymbol?$$

## Solution

To solve the first part (?), compare the numerator and denominator of both the fractions.

It can be observed that the denominator of the first fraction 5 is multiplied by 2 to get 10.

Similarly, 2 has to be multiplied by the numerator also to keep the value of the fraction unaltered.

$$\frac{\mathbf3\boldsymbol\times\mathbf2}{\mathbf5\boldsymbol\times\mathbf2}\boldsymbol=\frac{\mathbf6}{\mathbf{10}}$$

The fractions that are obtained by multiplying the same values to the numerator and denominator are called **equivalent fractions**.

To find the second blank, write the fraction in decimal form.**The number of zeros that follow 1 in the denominator is the number of decimal digits to be moved in the numerator to the left.**

Here our denominator is 10 which has one zero. Hence move one decimal point in the numerator to the right.

$$\frac{\mathbf6}{\mathbf{10}}\boldsymbol=\mathbf0\boldsymbol.\mathbf6$$

Alternatively, the fraction can also be converted to decimal form by dividing the numerator by the denominator using the long division method.

Here the numerator 6 is the dividend and the denominator 10 is the divisor.

Carry out the division, by placing a decimal in the quotient and adding 0 to the dividend.

Hence the decimal form is **0.6**.

## Remember

Here are some common terms you should be familiar with.

- In the fraction $$\frac35$$, the number 3 is the dividend (
**our numerator**) - The number 5 is our divisor (
**our denominator)**.

Such a topic may be interesting for you: What is 5/8 as a decimal fraction?