Converting 77.352 to a Fraction
Step-by-step explanation of how to convert 77.352 to a fraction

Result

77.352 =
9669
125
Mixed number:
77
44
125

Step 1: Identify the number of decimal places

The decimal 77.352 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

77.352 × 1000 = 77352

Step 3: Write as a fraction

77.352 =

77352
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 77352 and 1000.

GCD(77352, 1000) = 8

Divide both the numerator and denominator by the GCD:

77352
1000

=

77352 ÷ 8
1000 ÷ 8

=

9669
125
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