Converting 13.41875 to a Fraction
Step-by-step explanation of how to convert 13.41875 to a fraction

Result

13.41875 =
2147
160
Mixed number:
13
67
160

Step 1: Identify the number of decimal places

The decimal 13.41875 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

13.41875 × 100000 = 1341875

Step 3: Write as a fraction

13.41875 =

1341875
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1341875 and 100000.

GCD(1341875, 100000) = 625

Divide both the numerator and denominator by the GCD:

1341875
100000

=

1341875 ÷ 625
100000 ÷ 625

=

2147
160
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