Converting 15.85 to a Fraction
Step-by-step explanation of how to convert 15.85 to a fraction
Result
15.85 =
317
20
Mixed number:
15
17
20
Step 1: Identify the number of decimal places
The decimal 15.85 has 2 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 102 = 100 to eliminate the decimal point.
15.85 × 100 = 1585
Step 3: Write as a fraction
15.85 =
1585
100
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1585 and 100.
GCD(1585, 100) = 5
Divide both the numerator and denominator by the GCD:
1585
100
=
1585 ÷ 5
100 ÷ 5
=
317
20
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