Converting 2.741 to a Fraction
Step-by-step explanation of how to convert 2.741 to a fraction

Result

2.741 =
2741
1000
Mixed number:
2
741
1000

Step 1: Identify the number of decimal places

The decimal 2.741 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

2.741 × 1000 = 2741

Step 3: Write as a fraction

2.741 =

2741
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2741 and 1000.

GCD(2741, 1000) = 1

Divide both the numerator and denominator by the GCD:

2741
1000

=

2741 ÷ 1
1000 ÷ 1

=

2741
1000
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