Converting 15.772 to a Fraction
Step-by-step explanation of how to convert 15.772 to a fraction

Result

15.772 =
3943
250
Mixed number:
15
193
250

Step 1: Identify the number of decimal places

The decimal 15.772 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

15.772 × 1000 = 15772

Step 3: Write as a fraction

15.772 =

15772
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 15772 and 1000.

GCD(15772, 1000) = 4

Divide both the numerator and denominator by the GCD:

15772
1000

=

15772 ÷ 4
1000 ÷ 4

=

3943
250
Related Conversions
Other decimal to fraction conversions you might find useful