Question

Simplify (144-3/2)-1/6​

Answer 1

Answer:

(144-3/2)-1/6

(288-3/2)-1/6

285/2-1/6

775-1/6

774/6

129

Answer 2

ANSWER:

The value of (144-3/2)-1/6​ is 142.34.

SOLUTION:

Given, expression is  $\left(144-\frac{3}{2}\right)-\frac{1}{6}$

We have to simplify the given expression.

Let us solve the terms inside the brackets first and next we can solve the remaining terms.

$=\left(144-\frac{3}{2}\right)-\frac{1}{6}$

On cross-multiplication, we get

$=\left(\frac{144 \times 2-3}{2}\right)-\frac{1}{6}$

$=\left(\frac{288-3}{2}\right)-\frac{1}{6}$

$=\left(\frac{285}{2}\right)-\frac{1}{6}$

Multiplying with 3 to have same denominator in both fractions, we get

$=\frac{285 \times 3}{2 \times 3}-\frac{1}{6}$

$\begin{aligned} &=\frac{855}{6}-\frac{1}{6} \\ &=\frac{855-1}{6} \end{aligned}$

$\begin{array}{l}{=\frac{854}{6}=\frac{427}{3}} \\ {=142.34 \text { approximately. }}\end{array}$

Hence, the value of given expression is 142.34.