Compute: 1 1/6 ÷1/2 . Convert the answer to a mixed number in simplest form.(1 point)
Responses
712
Start Fraction 7 over 12 End Fraction
1416
Start Fraction 14 over 16 End Fraction
213
2 Start Fraction 1 over 3 End Fraction
614
Start Fraction 6 over 14 End Fraction
To simplify the division of 1 1/6 ÷ 1/2, we need to convert both fractions to have a common denominator.
1 1/6 = 7/6 (converting the mixed number to an improper fraction)
1/2 = 3/6 (converting the fraction to have a denominator of 6)
Now we can perform the division:
(7/6) ÷ (3/6) = 7/6 x 6/3 (multiplying the numerator and denominator of the divisor by the reciprocal of the dividend)
= 7/2 (simplifying the fraction)
To convert this improper fraction to a mixed number, we divide the numerator by the denominator:
7 ÷ 2 = 3 remainder 1
So the answer is 3 1/2.