Converting 77.1528 to a Fraction
Step-by-step explanation of how to convert 77.1528 to a fraction

Result

77.1528 =
96441
1250
Mixed number:
77
191
1250

Step 1: Identify the number of decimal places

The decimal 77.1528 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

77.1528 × 10000 = 771528

Step 3: Write as a fraction

77.1528 =

771528
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 771528 and 10000.

GCD(771528, 10000) = 8

Divide both the numerator and denominator by the GCD:

771528
10000

=

771528 ÷ 8
10000 ÷ 8

=

96441
1250
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