Converting 0.49741 to a Fraction
Step-by-step explanation of how to convert 0.49741 to a fraction

Result

0.49741 =
49741
100000

Step 1: Identify the number of decimal places

The decimal 0.49741 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.49741 × 100000 = 49741

Step 3: Write as a fraction

0.49741 =

49741
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 49741 and 100000.

GCD(49741, 100000) = 1

Divide both the numerator and denominator by the GCD:

49741
100000

=

49741 ÷ 1
100000 ÷ 1

=

49741
100000
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