Converting 52.4 to a Fraction
Step-by-step explanation of how to convert 52.4 to a fraction

Result

52.4 =
262
5
Mixed number:
52
2
5

Step 1: Identify the number of decimal places

The decimal 52.4 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

52.4 × 10 = 524

Step 3: Write as a fraction

52.4 =

524
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 524 and 10.

GCD(524, 10) = 2

Divide both the numerator and denominator by the GCD:

524
10

=

524 ÷ 2
10 ÷ 2

=

262
5
Related Conversions
Other decimal to fraction conversions you might find useful