Question

Bonita said that the product of 5/6 × 1 2/3 is 7/ 3. How can you tell that her answer is wrong?

Answer 1

let's firstly convert the mixed fraction to improper fraction.

`\bf \stackrel{mixed}{1(2)/(3)}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{6}* \cfrac{5}{3}\implies \cfrac{25}{18}\implies 1(7)/(18)`

Answer 2

See below

Explanation:

Because her answer is greater than 2 (7/3 = 2 1/3)

We are multiplying a number less than 2 (1 2/3) by a number less than 1 (5/6), so we have less than one of the number 1 2/3, which has to be less than 1 2/3.