Answer: 4 and 5/18
Step-by-step explanation: In this problem, we have 7/6 divided by 3/11. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.
So here, 7/6 ÷ 3/11 can be rewritten as 7/6 × 11/3.
Now we are simply multiplying fractions so we multiply across the numerators and multiply across the denominators.
So we have 7 × 11 which is 77 and 6 × 3 which is 18.
Now we have the fraction 77/18.
We can write 77/18 as a mixed number by dividing the denominator of the fraction into the numerator.
18 divides into 77 4 times with a remainder of 5.
So we can write 77/18 as 4 and 5/18.
Notice that the 18 stays which is the denominator of our original answer.
This means that 7/6 ÷ 3/11 = 4 and 5/18.