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
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