Question

Simplest form of 3 ×1÷4+1 ÷2÷3÷4-1 ÷2×3×1÷2

Answer 1

The value of the expression is $\frac{2}{3}$.

Step-by-step explanation:

The expression is:

$3 \times1\div4+1 \div2\div3\div4-1 \div2\times3\times1\div2$

Simplify thee expression as follows:

$3 \times1\div4+1 \div2\div3\div4-1 \div2\times3\times1\div2$

$=(3 \times\frac{1}{4})+(\frac{1}{2}\div\frac{3}{4})-(\frac{1}{2}\times3\times\frac{1}{2})$

$=\frac{3}{4}+(\frac{1}{2}\times\frac{4}{3})-\frac{3}{4}$

$=\frac{3}{4}+\frac{2}{3}-\frac{3}{4}$

$=\frac{9+8-9}{12}$

$=\frac{8}{12}$

$=\frac{2}{3}$

Thus, the value of the expression is $\frac{2}{3}$.