Converting 45.2 to a Fraction
Step-by-step explanation of how to convert 45.2 to a fraction

Result

45.2 =
226
5
Mixed number:
45
1
5

Step 1: Identify the number of decimal places

The decimal 45.2 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

45.2 × 10 = 452

Step 3: Write as a fraction

45.2 =

452
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 452 and 10.

GCD(452, 10) = 2

Divide both the numerator and denominator by the GCD:

452
10

=

452 ÷ 2
10 ÷ 2

=

226
5
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions