Converting 3.07745 to a Fraction
Step-by-step explanation of how to convert 3.07745 to a fraction

Result

3.07745 =
61549
20000
Mixed number:
3
1549
20000

Step 1: Identify the number of decimal places

The decimal 3.07745 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

3.07745 × 100000 = 307745

Step 3: Write as a fraction

3.07745 =

307745
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 307745 and 100000.

GCD(307745, 100000) = 5

Divide both the numerator and denominator by the GCD:

307745
100000

=

307745 ÷ 5
100000 ÷ 5

=

61549
20000
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