Converting 2.872 to a Fraction
Step-by-step explanation of how to convert 2.872 to a fraction
Result
2.872 =
359
125
Mixed number:
2
109
125
Step 1: Identify the number of decimal places
The decimal 2.872 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
2.872 × 1000 = 2872
Step 3: Write as a fraction
2.872 =
2872
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2872 and 1000.
GCD(2872, 1000) = 8
Divide both the numerator and denominator by the GCD:
2872
1000
=
2872 ÷ 8
1000 ÷ 8
=
359
125
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions