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
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