Converting 71.764 to a Fraction
Step-by-step explanation of how to convert 71.764 to a fraction
Result
71.764 =
17941
250
Mixed number:
71
191
250
Step 1: Identify the number of decimal places
The decimal 71.764 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
71.764 × 1000 = 71764
Step 3: Write as a fraction
71.764 =
71764
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 71764 and 1000.
GCD(71764, 1000) = 4
Divide both the numerator and denominator by the GCD:
71764
1000
=
71764 ÷ 4
1000 ÷ 4
=
17941
250
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