Converting 6.724 to a Fraction
Step-by-step explanation of how to convert 6.724 to a fraction
Result
6.724 =
1681
250
Mixed number:
6
181
250
Step 1: Identify the number of decimal places
The decimal 6.724 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
6.724 × 1000 = 6724
Step 3: Write as a fraction
6.724 =
6724
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 6724 and 1000.
GCD(6724, 1000) = 4
Divide both the numerator and denominator by the GCD:
6724
1000
=
6724 ÷ 4
1000 ÷ 4
=
1681
250
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions