Converting 7.752 to a Fraction
Step-by-step explanation of how to convert 7.752 to a fraction

Result

7.752 =
969
125
Mixed number:
7
94
125

Step 1: Identify the number of decimal places

The decimal 7.752 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.752 × 1000 = 7752

Step 3: Write as a fraction

7.752 =

7752
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7752 and 1000.

GCD(7752, 1000) = 8

Divide both the numerator and denominator by the GCD:

7752
1000

=

7752 ÷ 8
1000 ÷ 8

=

969
125
Related Conversions
Other decimal to fraction conversions you might find useful