Question

Can you solve this problem so that you can explain me as best as possible to understand the problem?

It is called Combined Operations with fractions and I know that some will get the name confused but I think it is the same

Answer 1

Answer:

Answer: 2

Step-by-step explanation:

$\frac{2}{3} (4 \frac{1}{6} - \frac{7}{6} )$

express the mixed fraction into proper fraction:

${ \boxed{4 \frac{1}{6} = \frac{(6 \times 4) + 1}{6} = \frac{25}{6} }}$

then solve simplify:

$= \frac{2}{3} ( \frac{25}{6} - \frac{7}{6} )$

solve the bracket:

$= \frac{2}{3} ( \frac{25 - 7}{6} ) \\ \\ = \frac{2}{3} ( 3)$

then simplify:

$= \frac{2 \times 3}{3} \\ \\ = 2$