Converting 7.3725 to a Fraction
Step-by-step explanation of how to convert 7.3725 to a fraction

Result

7.3725 =
2949
400
Mixed number:
7
149
400

Step 1: Identify the number of decimal places

The decimal 7.3725 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

7.3725 × 10000 = 73725

Step 3: Write as a fraction

7.3725 =

73725
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 73725 and 10000.

GCD(73725, 10000) = 25

Divide both the numerator and denominator by the GCD:

73725
10000

=

73725 ÷ 25
10000 ÷ 25

=

2949
400
Related Conversions
Other decimal to fraction conversions you might find useful