Converting 1.3725 to a Fraction
Step-by-step explanation of how to convert 1.3725 to a fraction

Result

1.3725 =
549
400
Mixed number:
1
149
400

Step 1: Identify the number of decimal places

The decimal 1.3725 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.3725 × 10000 = 13725

Step 3: Write as a fraction

1.3725 =

13725
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 13725 and 10000.

GCD(13725, 10000) = 25

Divide both the numerator and denominator by the GCD:

13725
10000

=

13725 ÷ 25
10000 ÷ 25

=

549
400
Related Conversions
Other decimal to fraction conversions you might find useful