Question

evaluate the following expression. 1/2+2/3+3/4 b. 2/3×42/5×10/7

Answer 1

Answer:$\begin{gathered} A)\text{ 1}\frac{11}{12} \\ B)\text{ 8} \end{gathered}$Explanations:

A)

$\frac{1}{2}+\frac{2}{3}+\frac{3}{4}$

Find the LCM of 2, 3, 4

LCM = 12

The expression becomes:

$\begin{gathered} \frac{6+8+9}{12} \\ =\text{ }\frac{23}{12} \\ =\text{ 1}\frac{11}{12} \end{gathered}$

B)

$\begin{gathered} \frac{2}{3}\times\frac{42}{5}\times\frac{10}{7} \\ =\text{ }\frac{2\times6\times2}{3} \\ =2\times2\times2 \\ =\text{ 8} \end{gathered}$