Converting 7.836 to a Fraction
Step-by-step explanation of how to convert 7.836 to a fraction
Result
7.836 =
1959
250
Mixed number:
7
209
250
Step 1: Identify the number of decimal places
The decimal 7.836 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
7.836 × 1000 = 7836
Step 3: Write as a fraction
7.836 =
7836
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7836 and 1000.
GCD(7836, 1000) = 4
Divide both the numerator and denominator by the GCD:
7836
1000
=
7836 ÷ 4
1000 ÷ 4
=
1959
250
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions