Converting 77.58 to a Fraction
Step-by-step explanation of how to convert 77.58 to a fraction
Result
77.58 =
3879
50
Mixed number:
77
29
50
Step 1: Identify the number of decimal places
The decimal 77.58 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
77.58 × 100 = 7758
Step 3: Write as a fraction
77.58 =
7758
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7758 and 100.
GCD(7758, 100) = 2
Divide both the numerator and denominator by the GCD:
7758
100
=
7758 ÷ 2
100 ÷ 2
=
3879
50
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