Converting 78.58 to a Fraction
Step-by-step explanation of how to convert 78.58 to a fraction
Result
78.58 =
3929
50
Mixed number:
78
29
50
Step 1: Identify the number of decimal places
The decimal 78.58 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
78.58 × 100 = 7858
Step 3: Write as a fraction
78.58 =
7858
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7858 and 100.
GCD(7858, 100) = 2
Divide both the numerator and denominator by the GCD:
7858
100
=
7858 ÷ 2
100 ÷ 2
=
3929
50
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