Converting 49.6408 to a Fraction
Step-by-step explanation of how to convert 49.6408 to a fraction

Result

49.6408 =
62051
1250
Mixed number:
49
801
1250

Step 1: Identify the number of decimal places

The decimal 49.6408 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

49.6408 × 10000 = 496408

Step 3: Write as a fraction

49.6408 =

496408
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 496408 and 10000.

GCD(496408, 10000) = 8

Divide both the numerator and denominator by the GCD:

496408
10000

=

496408 ÷ 8
10000 ÷ 8

=

62051
1250
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