Converting 26.735 to a Fraction
Step-by-step explanation of how to convert 26.735 to a fraction

Result

26.735 =
5347
200
Mixed number:
26
147
200

Step 1: Identify the number of decimal places

The decimal 26.735 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

26.735 × 1000 = 26735

Step 3: Write as a fraction

26.735 =

26735
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 26735 and 1000.

GCD(26735, 1000) = 5

Divide both the numerator and denominator by the GCD:

26735
1000

=

26735 ÷ 5
1000 ÷ 5

=

5347
200
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