Converting 85.78 to a Fraction
Step-by-step explanation of how to convert 85.78 to a fraction
Result
85.78 =
4289
50
Mixed number:
85
39
50
Step 1: Identify the number of decimal places
The decimal 85.78 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
85.78 × 100 = 8578
Step 3: Write as a fraction
85.78 =
8578
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8578 and 100.
GCD(8578, 100) = 2
Divide both the numerator and denominator by the GCD:
8578
100
=
8578 ÷ 2
100 ÷ 2
=
4289
50
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