Converting 59.7408 to a Fraction
Step-by-step explanation of how to convert 59.7408 to a fraction

Result

59.7408 =
37338
625
Mixed number:
59
463
625

Step 1: Identify the number of decimal places

The decimal 59.7408 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

59.7408 × 10000 = 597408

Step 3: Write as a fraction

59.7408 =

597408
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 597408 and 10000.

GCD(597408, 10000) = 16

Divide both the numerator and denominator by the GCD:

597408
10000

=

597408 ÷ 16
10000 ÷ 16

=

37338
625
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