Converting 2.075 to a Fraction
Step-by-step explanation of how to convert 2.075 to a fraction
Result
2.075 =
83
40
Mixed number:
2
3
40
Step 1: Identify the number of decimal places
The decimal 2.075 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
2.075 × 1000 = 2075
Step 3: Write as a fraction
2.075 =
2075
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2075 and 1000.
GCD(2075, 1000) = 25
Divide both the numerator and denominator by the GCD:
2075
1000
=
2075 ÷ 25
1000 ÷ 25
=
83
40
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