5/6:3/4 in simplest form

Answer: 1 and 1/9

Step-by-step explanation: When dividing fractions such as 5/6 : 3/4, it's important to understand the following rule. Dividing by a fraction is the same thing as multiplying by the reciprocal of the fraction. In other words, we can change the division sign to multiplication and flip the second fraction.

So we can rewrite 5/6 : 3/4 as 5/6 * 4/3. Now we're simply multiplying fractions so we multiply across the numerators and across the denominators.

5 * 4 is 20 and 6 * 3 is 18 so 5/6 : 3/4 is 20/18. The improper fraction 20/18 can be rewritten as the mixed number 1 and 1/9 by dividing the denominator of the fraction into the numerator.