Converting 25.7712 to a Fraction
Step-by-step explanation of how to convert 25.7712 to a fraction

Result

25.7712 =
16107
625
Mixed number:
25
482
625

Step 1: Identify the number of decimal places

The decimal 25.7712 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

25.7712 × 10000 = 257712

Step 3: Write as a fraction

25.7712 =

257712
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 257712 and 10000.

GCD(257712, 10000) = 16

Divide both the numerator and denominator by the GCD:

257712
10000

=

257712 ÷ 16
10000 ÷ 16

=

16107
625
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