Converting 10.075 to a Fraction
Step-by-step explanation of how to convert 10.075 to a fraction
Result
10.075 =
403
40
Mixed number:
10
3
40
Step 1: Identify the number of decimal places
The decimal 10.075 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.075 × 1000 = 10075
Step 3: Write as a fraction
10.075 =
10075
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10075 and 1000.
GCD(10075, 1000) = 25
Divide both the numerator and denominator by the GCD:
10075
1000
=
10075 ÷ 25
1000 ÷ 25
=
403
40
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