Converting 7.726 to a Fraction
Step-by-step explanation of how to convert 7.726 to a fraction
Result
7.726 =
3863
500
Mixed number:
7
363
500
Step 1: Identify the number of decimal places
The decimal 7.726 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
7.726 × 1000 = 7726
Step 3: Write as a fraction
7.726 =
7726
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 7726 and 1000.
GCD(7726, 1000) = 2
Divide both the numerator and denominator by the GCD:
7726
1000
=
7726 ÷ 2
1000 ÷ 2
=
3863
500
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