Converting 13.56875 to a Fraction
Step-by-step explanation of how to convert 13.56875 to a fraction

Result

13.56875 =
2171
160
Mixed number:
13
91
160

Step 1: Identify the number of decimal places

The decimal 13.56875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

13.56875 × 100000 = 1356875

Step 3: Write as a fraction

13.56875 =

1356875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1356875 and 100000.

GCD(1356875, 100000) = 625

Divide both the numerator and denominator by the GCD:

1356875
100000

=

1356875 ÷ 625
100000 ÷ 625

=

2171
160
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