Converting 10.404 to a Fraction
Step-by-step explanation of how to convert 10.404 to a fraction
Result
10.404 =
2601
250
Mixed number:
10
101
250
Step 1: Identify the number of decimal places
The decimal 10.404 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.404 × 1000 = 10404
Step 3: Write as a fraction
10.404 =
10404
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10404 and 1000.
GCD(10404, 1000) = 4
Divide both the numerator and denominator by the GCD:
10404
1000
=
10404 ÷ 4
1000 ÷ 4
=
2601
250
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