Converting 13.78624 to a Fraction
Step-by-step explanation of how to convert 13.78624 to a fraction

Result

13.78624 =
43082
3125
Mixed number:
13
2457
3125

Step 1: Identify the number of decimal places

The decimal 13.78624 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

13.78624 × 100000 = 1378624

Step 3: Write as a fraction

13.78624 =

1378624
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1378624 and 100000.

GCD(1378624, 100000) = 32

Divide both the numerator and denominator by the GCD:

1378624
100000

=

1378624 ÷ 32
100000 ÷ 32

=

43082
3125
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