Converting 6.312 to a Fraction
Step-by-step explanation of how to convert 6.312 to a fraction
Result
6.312 =
789
125
Mixed number:
6
39
125
Step 1: Identify the number of decimal places
The decimal 6.312 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
6.312 × 1000 = 6312
Step 3: Write as a fraction
6.312 =
6312
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 6312 and 1000.
GCD(6312, 1000) = 8
Divide both the numerator and denominator by the GCD:
6312
1000
=
6312 ÷ 8
1000 ÷ 8
=
789
125
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