How to convert a decimal into a fraction and a fraction into a decimal?

Converting decimal to fraction:

To convert a Decimal to a Fraction follow these steps

Step 1: Write down the decimal divided by 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal

point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

Step 3: Simplify (or reduce) the fraction.

For example:

Convert 0.75 to a fraction

Step 1: Write down 0.75 divided by 1.

$\frac{0.75}{1}$

Step 2: Multiply both top and bottom by 100.(Because there are two digits after the decimal point)

$\frac{0.75\times 100}{1 \times 100} = \frac{75}{100}$

Step 3: Simplify the fraction.

$\frac{75}{100} = \frac{3}{4}$

Converting fraction to a decimal:

To convert a fraction to a decimal, follow these steps:

Step 1: Find a number you can multiply by the bottom of the fraction to make it 10 or a multiple of 10.

Step 2: Multiply both top and bottom by that number.

Step 3: Then write down just the top number, putting the decimal point in the correct spot (one space from the right-hand side for every zero in the bottom number).

For example:

Convert $\frac{3}{4}$ a Decimal.

Step 1: We can multiply 4 by 25 to become 100

Step 2: Multiply top and bottom by 25:

$\frac{3\times25}{4\times25}=\frac{75}{100}$

Step 3: Write down 75 with the decimal point 2 spaces from the right (because 100 has 2 zeros).

$\frac{75}{100}=0.75$.

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Updated on: 10-Oct-2022

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