Answer: 1 and 1/9
Step-by-step explanation: Here, we have 5/6 ÷ 3/4.
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, 5/6 ÷ 3/4 can be rewritten as 5/6 × 4/3.
Now we're simply multiplying fractions so we multiply across the
numerators and multiply across the denominators.
So we have 5 × 4 which is 20 and 6 × 3 which is 18.
Notice that 20/18 is not in lowest terms so we divide the
numerator and the denominator of 20/18 by 2 to get 10/9.
If you would like, you can change this to the mixed number 1 and 1/9
by simply dividing 9 into 10 and putting the remainder over the denominator.