Converting 49.52 to a Fraction
Step-by-step explanation of how to convert 49.52 to a fraction

Result

49.52 =
1238
25
Mixed number:
49
13
25

Step 1: Identify the number of decimal places

The decimal 49.52 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

49.52 × 100 = 4952

Step 3: Write as a fraction

49.52 =

4952
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4952 and 100.

GCD(4952, 100) = 4

Divide both the numerator and denominator by the GCD:

4952
100

=

4952 ÷ 4
100 ÷ 4

=

1238
25
Related Conversions
Other decimal to fraction conversions you might find useful