Converting 2.656 to a Fraction
Step-by-step explanation of how to convert 2.656 to a fraction

Result

2.656 =
332
125
Mixed number:
2
82
125

Step 1: Identify the number of decimal places

The decimal 2.656 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

2.656 × 1000 = 2656

Step 3: Write as a fraction

2.656 =

2656
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 2656 and 1000.

GCD(2656, 1000) = 8

Divide both the numerator and denominator by the GCD:

2656
1000

=

2656 ÷ 8
1000 ÷ 8

=

332
125
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