Converting 7.975 to a Fraction
Step-by-step explanation of how to convert 7.975 to a fraction

Result

7.975 =
319
40
Mixed number:
7
39
40

Step 1: Identify the number of decimal places

The decimal 7.975 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.975 × 1000 = 7975

Step 3: Write as a fraction

7.975 =

7975
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7975 and 1000.

GCD(7975, 1000) = 25

Divide both the numerator and denominator by the GCD:

7975
1000

=

7975 ÷ 25
1000 ÷ 25

=

319
40
Related Conversions
Other decimal to fraction conversions you might find useful