3.5 as a Fraction

Convert the decimal 3.5 to a fraction with step-by-step explanation.

Answer: 3.5 = \frac{7}{2}

Step-by-Step Solution

Step 1 Identify the Decimal

We need to convert 3.5 to a fraction.

This is a terminating decimal.

3.5 = ?

Step 2 Count Decimal Places

The decimal part is '5'

There are 1 digits after the decimal point.

The denominator will be 10

\text{Denominator} = 10^1 = 10

Step 3 Create the Fraction

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

Numerator = 35, Denominator = 10

3.5 = \frac{35}{10}

Step 4 Simplify the Fraction

Find the GCF of 35 and 10: 5

Divide both by 5

\frac{35}{10} = \frac{7}{2}

Step 5 Final Answer

The decimal 3.5 as a fraction is 7/2

3.5 = \frac{7}{2}