# What is 3/4 as a decimal?

## Want to practice?

To convert a fraction to a decimal, divide the numerator 3 by the denominator 4 using long division.

Note that since the number 3 is not divisible by 4, add a decimal point to the quotient to make the divisor 30.

Once the decimal point is used, we can add 0 to the divisor and remainder values at every step of the division.

Carry out the division till the remainder is 0.

Hence the decimal form of the fraction  $$\frac34$$ is 0.75.

## Alternative method:

All fractions can be converted to decimal form by dividing the numerator of the fraction by the denominator.

For some fractions, it is not necessary to use the long division method to find the decimal form. Instead, the decimal form can be found out by converting the fraction into a suitable equivalent fraction.

The denominator 4 can be changed to 100 by multiplying it by 25.

To make the fraction equivalent, multiply 25 to the numerator also.

$$\frac{\mathbf3}{\mathbf4}\boldsymbol=\frac{\mathbf3\boldsymbol\times\mathbf{25}}{\mathbf4\boldsymbol\times\mathbf{25}}\boldsymbol=\frac{\mathbf{75}}{\mathbf{100}}$$

As there are two zeros in the denominator, move the decimal point two places to the left.

The decimal form is 0.75.

## Remember

Here are some common terms you should be familiar with.

• In the fraction  $$\frac34$$, the number 3 is the dividend (our numerator)
• The number 4 is our divisor (our denominator)

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