Converting 3.488 to a Fraction
Step-by-step explanation of how to convert 3.488 to a fraction

Result

3.488 =
436
125
Mixed number:
3
61
125

Step 1: Identify the number of decimal places

The decimal 3.488 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.488 × 1000 = 3488

Step 3: Write as a fraction

3.488 =

3488
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3488 and 1000.

GCD(3488, 1000) = 8

Divide both the numerator and denominator by the GCD:

3488
1000

=

3488 ÷ 8
1000 ÷ 8

=

436
125
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