Converting 10.575 to a Fraction
Step-by-step explanation of how to convert 10.575 to a fraction
Result
10.575 =
423
40
Mixed number:
10
23
40
Step 1: Identify the number of decimal places
The decimal 10.575 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
10.575 × 1000 = 10575
Step 3: Write as a fraction
10.575 =
10575
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 10575 and 1000.
GCD(10575, 1000) = 25
Divide both the numerator and denominator by the GCD:
10575
1000
=
10575 ÷ 25
1000 ÷ 25
=
423
40
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