Converting 7.265 to a Fraction
Step-by-step explanation of how to convert 7.265 to a fraction

Result

7.265 =
1453
200
Mixed number:
7
53
200

Step 1: Identify the number of decimal places

The decimal 7.265 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

7.265 × 1000 = 7265

Step 3: Write as a fraction

7.265 =

7265
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 7265 and 1000.

GCD(7265, 1000) = 5

Divide both the numerator and denominator by the GCD:

7265
1000

=

7265 ÷ 5
1000 ÷ 5

=

1453
200
Related Conversions
Other decimal to fraction conversions you might find useful