2.25 as a Fraction

Convert the decimal 2.25 to a fraction with step-by-step explanation.

Answer: 2.25 = \frac{9}{4}

Step-by-Step Solution

Step 1 Identify the Decimal

We need to convert 2.25 to a fraction.

This is a terminating decimal.

2.25 = ?

Step 2 Count Decimal Places

The decimal part is '25'

There are 2 digits after the decimal point.

The denominator will be 100

\text{Denominator} = 10^2 = 100

Step 3 Create the Fraction

Remove the decimal point and use the number as the numerator.

Numerator = 225, Denominator = 100

2.25 = \frac{225}{100}

Step 4 Simplify the Fraction

Find the GCF of 225 and 100: 25

Divide both by 25

\frac{225}{100} = \frac{9}{4}

Step 5 Final Answer

The decimal 2.25 as a fraction is 9/4

2.25 = \frac{9}{4}