Converting 1.9725 to a Fraction
Step-by-step explanation of how to convert 1.9725 to a fraction
Result
1.9725 =
789
400
Mixed number:
1
389
400
Step 1: Identify the number of decimal places
The decimal 1.9725 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
1.9725 × 10000 = 19725
Step 3: Write as a fraction
1.9725 =
19725
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 19725 and 10000.
GCD(19725, 10000) = 25
Divide both the numerator and denominator by the GCD:
19725
10000
=
19725 ÷ 25
10000 ÷ 25
=
789
400
Related Conversions
Other decimal to fraction conversions you might find useful
Common Fraction Conversions
Popular decimal to fraction conversions