Converting 5.768 to a Fraction
Step-by-step explanation of how to convert 5.768 to a fraction
Result
5.768 =
721
125
Mixed number:
5
96
125
Step 1: Identify the number of decimal places
The decimal 5.768 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
5.768 × 1000 = 5768
Step 3: Write as a fraction
5.768 =
5768
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 5768 and 1000.
GCD(5768, 1000) = 8
Divide both the numerator and denominator by the GCD:
5768
1000
=
5768 ÷ 8
1000 ÷ 8
=
721
125
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