Converting 6.375 to a Fraction
Step-by-step explanation of how to convert 6.375 to a fraction
Result
6.375 =
51
8
Mixed number:
6
3
8
Step 1: Identify the number of decimal places
The decimal 6.375 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
6.375 × 1000 = 6375
Step 3: Write as a fraction
6.375 =
6375
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 6375 and 1000.
GCD(6375, 1000) = 125
Divide both the numerator and denominator by the GCD:
6375
1000
=
6375 ÷ 125
1000 ÷ 125
=
51
8
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions