Converting 25.6512 to a Fraction
Step-by-step explanation of how to convert 25.6512 to a fraction

Result

25.6512 =
16032
625
Mixed number:
25
407
625

Step 1: Identify the number of decimal places

The decimal 25.6512 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

25.6512 × 10000 = 256512

Step 3: Write as a fraction

25.6512 =

256512
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 256512 and 10000.

GCD(256512, 10000) = 16

Divide both the numerator and denominator by the GCD:

256512
10000

=

256512 ÷ 16
10000 ÷ 16

=

16032
625
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