Converting 41.77784 to a Fraction
Step-by-step explanation of how to convert 41.77784 to a fraction

Result

41.77784 =
522223
12500
Mixed number:
41
9723
12500

Step 1: Identify the number of decimal places

The decimal 41.77784 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

41.77784 × 100000 = 4177784

Step 3: Write as a fraction

41.77784 =

4177784
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4177784 and 100000.

GCD(4177784, 100000) = 8

Divide both the numerator and denominator by the GCD:

4177784
100000

=

4177784 ÷ 8
100000 ÷ 8

=

522223
12500
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