Converting 0.757 to a Fraction
Step-by-step explanation of how to convert 0.757 to a fraction

Result

0.757 =
757
1000

Step 1: Identify the number of decimal places

The decimal 0.757 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.757 × 1000 = 757

Step 3: Write as a fraction

0.757 =

757
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 757 and 1000.

GCD(757, 1000) = 1

Divide both the numerator and denominator by the GCD:

757
1000

=

757 ÷ 1
1000 ÷ 1

=

757
1000
Related Conversions
Other decimal to fraction conversions you might find useful