Converting 78.5 to a Fraction
Step-by-step explanation of how to convert 78.5 to a fraction
Result
78.5 =
157
2
Mixed number:
78
1
2
Step 1: Identify the number of decimal places
The decimal 78.5 has 1 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 101 = 10 to eliminate the decimal point.
78.5 × 10 = 785
Step 3: Write as a fraction
78.5 =
785
10
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 785 and 10.
GCD(785, 10) = 5
Divide both the numerator and denominator by the GCD:
785
10
=
785 ÷ 5
10 ÷ 5
=
157
2
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