Converting 13.77256 to a Fraction
Step-by-step explanation of how to convert 13.77256 to a fraction

Result

13.77256 =
172157
12500
Mixed number:
13
9657
12500

Step 1: Identify the number of decimal places

The decimal 13.77256 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

13.77256 × 100000 = 1377256

Step 3: Write as a fraction

13.77256 =

1377256
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1377256 and 100000.

GCD(1377256, 100000) = 8

Divide both the numerator and denominator by the GCD:

1377256
100000

=

1377256 ÷ 8
100000 ÷ 8

=

172157
12500
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