Converting 41.77312 to a Fraction
Step-by-step explanation of how to convert 41.77312 to a fraction

Result

41.77312 =
130541
3125
Mixed number:
41
2416
3125

Step 1: Identify the number of decimal places

The decimal 41.77312 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

41.77312 × 100000 = 4177312

Step 3: Write as a fraction

41.77312 =

4177312
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4177312 and 100000.

GCD(4177312, 100000) = 32

Divide both the numerator and denominator by the GCD:

4177312
100000

=

4177312 ÷ 32
100000 ÷ 32

=

130541
3125
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