Converting 3.538 to a Fraction
Step-by-step explanation of how to convert 3.538 to a fraction

Result

3.538 =
1769
500
Mixed number:
3
269
500

Step 1: Identify the number of decimal places

The decimal 3.538 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.538 × 1000 = 3538

Step 3: Write as a fraction

3.538 =

3538
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3538 and 1000.

GCD(3538, 1000) = 2

Divide both the numerator and denominator by the GCD:

3538
1000

=

3538 ÷ 2
1000 ÷ 2

=

1769
500
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