Converting 27.735648 to a Fraction
Step-by-step explanation of how to convert 27.735648 to a fraction

Result

27.735648 =
866739
31250
Mixed number:
27
22989
31250

Step 1: Identify the number of decimal places

The decimal 27.735648 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

27.735648 × 1000000 = 27735648

Step 3: Write as a fraction

27.735648 =

27735648
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 27735648 and 1000000.

GCD(27735648, 1000000) = 32

Divide both the numerator and denominator by the GCD:

27735648
1000000

=

27735648 ÷ 32
1000000 ÷ 32

=

866739
31250
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