How do you work out 7/6 divided by 3/11

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.