Converting 15.86 to a Fraction
Step-by-step explanation of how to convert 15.86 to a fraction

Result

15.86 =
793
50
Mixed number:
15
43
50

Step 1: Identify the number of decimal places

The decimal 15.86 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

15.86 × 100 = 1586

Step 3: Write as a fraction

15.86 =

1586
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1586 and 100.

GCD(1586, 100) = 2

Divide both the numerator and denominator by the GCD:

1586
100

=

1586 ÷ 2
100 ÷ 2

=

793
50
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