Converting 5.956 to a Fraction
Step-by-step explanation of how to convert 5.956 to a fraction

Result

5.956 =
1489
250
Mixed number:
5
239
250

Step 1: Identify the number of decimal places

The decimal 5.956 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

5.956 × 1000 = 5956

Step 3: Write as a fraction

5.956 =

5956
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 5956 and 1000.

GCD(5956, 1000) = 4

Divide both the numerator and denominator by the GCD:

5956
1000

=

5956 ÷ 4
1000 ÷ 4

=

1489
250
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