Converting 1.7725 to a Fraction
Step-by-step explanation of how to convert 1.7725 to a fraction

Result

1.7725 =
709
400
Mixed number:
1
309
400

Step 1: Identify the number of decimal places

The decimal 1.7725 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

1.7725 × 10000 = 17725

Step 3: Write as a fraction

1.7725 =

17725
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 17725 and 10000.

GCD(17725, 10000) = 25

Divide both the numerator and denominator by the GCD:

17725
10000

=

17725 ÷ 25
10000 ÷ 25

=

709
400
Related Conversions
Other decimal to fraction conversions you might find useful