Converting 3.616 to a Fraction
Step-by-step explanation of how to convert 3.616 to a fraction

Result

3.616 =
452
125
Mixed number:
3
77
125

Step 1: Identify the number of decimal places

The decimal 3.616 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

3.616 × 1000 = 3616

Step 3: Write as a fraction

3.616 =

3616
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3616 and 1000.

GCD(3616, 1000) = 8

Divide both the numerator and denominator by the GCD:

3616
1000

=

3616 ÷ 8
1000 ÷ 8

=

452
125
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