Converting 56.976 to a Fraction
Step-by-step explanation of how to convert 56.976 to a fraction
Result
56.976 =
7122
125
Mixed number:
56
122
125
Step 1: Identify the number of decimal places
The decimal 56.976 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
56.976 × 1000 = 56976
Step 3: Write as a fraction
56.976 =
56976
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 56976 and 1000.
GCD(56976, 1000) = 8
Divide both the numerator and denominator by the GCD:
56976
1000
=
56976 ÷ 8
1000 ÷ 8
=
7122
125
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