Converting 0.786 to a Fraction
Step-by-step explanation of how to convert 0.786 to a fraction
Result
0.786 =
393
500
Step 1: Identify the number of decimal places
The decimal 0.786 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.786 × 1000 = 786
Step 3: Write as a fraction
0.786 =
786
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 786 and 1000.
GCD(786, 1000) = 2
Divide both the numerator and denominator by the GCD:
786
1000
=
786 ÷ 2
1000 ÷ 2
=
393
500
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions