Converting 26.4375 to a Fraction
Step-by-step explanation of how to convert 26.4375 to a fraction

Result

26.4375 =
423
16
Mixed number:
26
7
16

Step 1: Identify the number of decimal places

The decimal 26.4375 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

26.4375 × 10000 = 264375

Step 3: Write as a fraction

26.4375 =

264375
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 264375 and 10000.

GCD(264375, 10000) = 625

Divide both the numerator and denominator by the GCD:

264375
10000

=

264375 ÷ 625
10000 ÷ 625

=

423
16
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