Converting 2.625 to a Fraction
Step-by-step explanation of how to convert 2.625 to a fraction
Result
2.625 =
21
8
Mixed number:
2
5
8
Step 1: Identify the number of decimal places
The decimal 2.625 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
2.625 × 1000 = 2625
Step 3: Write as a fraction
2.625 =
2625
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 2625 and 1000.
GCD(2625, 1000) = 125
Divide both the numerator and denominator by the GCD:
2625
1000
=
2625 ÷ 125
1000 ÷ 125
=
21
8
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions