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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