Which of the following correctly shows the process of using the multiplicative inverse for dividing 5/6 by 7/11

Unit 5 test: Multiplying and Dividing fraction 6th grade connexus

5/6 ÷ 7/11

= (5/6(11/7)
= 55/42

Thank you

To divide fractions, you can use the concept of multiplicative inverse (also known as reciprocal). The multiplicative inverse of a fraction a/b is the fraction b/a.

To divide 5/6 by 7/11, we need to multiply the first fraction by the multiplicative inverse of the second fraction.

Step 1: Determine the multiplicative inverse of 7/11
The multiplicative inverse of 7/11 is 11/7 since (7/11) * (11/7) = 1, the identity element for multiplication.

Step 2: Rewrite the division problem as a multiplication problem
Dividing 5/6 by 7/11 can be written as: (5/6) * (11/7)

Step 3: Multiply the fractions
(5/6) * (11/7) = (5 * 11) / (6 * 7) = 55/42

Therefore, the division of 5/6 by 7/11 is equal to 55/42.