Converting 25.4375 to a Fraction
Step-by-step explanation of how to convert 25.4375 to a fraction

Result

25.4375 =
407
16
Mixed number:
25
7
16

Step 1: Identify the number of decimal places

The decimal 25.4375 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

25.4375 × 10000 = 254375

Step 3: Write as a fraction

25.4375 =

254375
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 254375 and 10000.

GCD(254375, 10000) = 625

Divide both the numerator and denominator by the GCD:

254375
10000

=

254375 ÷ 625
10000 ÷ 625

=

407
16
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