Converting 61.4864 to a Fraction
Step-by-step explanation of how to convert 61.4864 to a fraction

Result

61.4864 =
38429
625
Mixed number:
61
304
625

Step 1: Identify the number of decimal places

The decimal 61.4864 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

61.4864 × 10000 = 614864

Step 3: Write as a fraction

61.4864 =

614864
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 614864 and 10000.

GCD(614864, 10000) = 16

Divide both the numerator and denominator by the GCD:

614864
10000

=

614864 ÷ 16
10000 ÷ 16

=

38429
625
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