Converting 76.74 to a Fraction
Step-by-step explanation of how to convert 76.74 to a fraction
Result
76.74 =
3837
50
Mixed number:
76
37
50
Step 1: Identify the number of decimal places
The decimal 76.74 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
76.74 × 100 = 7674
Step 3: Write as a fraction
76.74 =
7674
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7674 and 100.
GCD(7674, 100) = 2
Divide both the numerator and denominator by the GCD:
7674
100
=
7674 ÷ 2
100 ÷ 2
=
3837
50
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