Converting 0.0408 to a Fraction
Step-by-step explanation of how to convert 0.0408 to a fraction

Result

0.0408 =
51
1250

Step 1: Identify the number of decimal places

The decimal 0.0408 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

0.0408 × 10000 = 408

Step 3: Write as a fraction

0.0408 =

408
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 408 and 10000.

GCD(408, 10000) = 8

Divide both the numerator and denominator by the GCD:

408
10000

=

408 ÷ 8
10000 ÷ 8

=

51
1250
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