Converting 78.32 to a Fraction
Step-by-step explanation of how to convert 78.32 to a fraction

Result

78.32 =
1958
25
Mixed number:
78
8
25

Step 1: Identify the number of decimal places

The decimal 78.32 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

78.32 × 100 = 7832

Step 3: Write as a fraction

78.32 =

7832
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7832 and 100.

GCD(7832, 100) = 4

Divide both the numerator and denominator by the GCD:

7832
100

=

7832 ÷ 4
100 ÷ 4

=

1958
25
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