Converting 3.56 to a Fraction
Step-by-step explanation of how to convert 3.56 to a fraction

Result

3.56 =
89
25
Mixed number:
3
14
25

Step 1: Identify the number of decimal places

The decimal 3.56 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

3.56 × 100 = 356

Step 3: Write as a fraction

3.56 =

356
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 356 and 100.

GCD(356, 100) = 4

Divide both the numerator and denominator by the GCD:

356
100

=

356 ÷ 4
100 ÷ 4

=

89
25
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