Converting 2.575 to a Fraction
Step-by-step explanation of how to convert 2.575 to a fraction
Result
2.575 =
103
40
Mixed number:
2
23
40
Step 1: Identify the number of decimal places
The decimal 2.575 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
2.575 × 1000 = 2575
Step 3: Write as a fraction
2.575 =
2575
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2575 and 1000.
GCD(2575, 1000) = 25
Divide both the numerator and denominator by the GCD:
2575
1000
=
2575 ÷ 25
1000 ÷ 25
=
103
40
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