Question

Make a estimate and it’s adding fractions and mixed numbers

Answer 1

From the problem, we have :

`6(1)/(3)+2(1)/(6)`

The common denominator will be the product which is 3 x 6 = 18.

Using the multiplication rule for equivalent fractions, it will be :

`\begin{gathered} (1)/(3)*(6)/(6)=(6)/(18)\rightarrow6(6)/(18) \\ (1)/(6)*(3)/(3)=(3)/(18)\rightarrow2(3)/(18) \end{gathered}`

The add the results,

`6(6)/(18)+2(3)/(18)=8(9)/(18)`

Estimate : 8 9/18

Next is to simplify the fraction.

The numerator 9 and the denominator 18 can be divided by 9

So this will be :

`(9)/(18)=(9/9)/(18/9)=(1)/(2)`

The answer will be : 8 1/2