Converting 77.92 to a Fraction
Step-by-step explanation of how to convert 77.92 to a fraction

Result

77.92 =
1948
25
Mixed number:
77
23
25

Step 1: Identify the number of decimal places

The decimal 77.92 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

77.92 × 100 = 7792

Step 3: Write as a fraction

77.92 =

7792
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7792 and 100.

GCD(7792, 100) = 4

Divide both the numerator and denominator by the GCD:

7792
100

=

7792 ÷ 4
100 ÷ 4

=

1948
25
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