Converting 78.52 to a Fraction
Step-by-step explanation of how to convert 78.52 to a fraction

Result

78.52 =
1963
25
Mixed number:
78
13
25

Step 1: Identify the number of decimal places

The decimal 78.52 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

78.52 × 100 = 7852

Step 3: Write as a fraction

78.52 =

7852
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7852 and 100.

GCD(7852, 100) = 4

Divide both the numerator and denominator by the GCD:

7852
100

=

7852 ÷ 4
100 ÷ 4

=

1963
25
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