Converting 25.7792 to a Fraction
Step-by-step explanation of how to convert 25.7792 to a fraction

Result

25.7792 =
16112
625
Mixed number:
25
487
625

Step 1: Identify the number of decimal places

The decimal 25.7792 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

25.7792 × 10000 = 257792

Step 3: Write as a fraction

25.7792 =

257792
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 257792 and 10000.

GCD(257792, 10000) = 16

Divide both the numerator and denominator by the GCD:

257792
10000

=

257792 ÷ 16
10000 ÷ 16

=

16112
625
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