Converting 0.575 to a Fraction
Step-by-step explanation of how to convert 0.575 to a fraction
Result
0.575 =
23
40
Step 1: Identify the number of decimal places
The decimal 0.575 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.575 × 1000 = 575
Step 3: Write as a fraction
0.575 =
575
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 575 and 1000.
GCD(575, 1000) = 25
Divide both the numerator and denominator by the GCD:
575
1000
=
575 ÷ 25
1000 ÷ 25
=
23
40
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