Converting 77.68 to a Fraction
Step-by-step explanation of how to convert 77.68 to a fraction

Result

77.68 =
1942
25
Mixed number:
77
17
25

Step 1: Identify the number of decimal places

The decimal 77.68 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

77.68 × 100 = 7768

Step 3: Write as a fraction

77.68 =

7768
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7768 and 100.

GCD(7768, 100) = 4

Divide both the numerator and denominator by the GCD:

7768
100

=

7768 ÷ 4
100 ÷ 4

=

1942
25
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