Question

What is the value of the expression 3a+b/2 when a = 1/4 and b = 3/2?​

Answer 1

Here is your answer, hope it helps

Answer 2

Given,

Expression $\[ = 3a + \frac{b}{2}\]$

$\[a = \frac{1}{4}\]$

$\[b = \frac{3}{2}\]$

Solution,

$\[ = 3a + \frac{b}{2}\]$

$\[ = 3 \times \left( {\frac{1}{4}} \right) + \frac{1}{2} \times \frac{1}{b}\]$

$\[ = 3 \times \left( {\frac{1}{4}} \right) + \frac{1}{2} \times \frac{1}{{\left( {\frac{3}{2}} \right)}}\]$

$\[ = \frac{3}{4} + \frac{1}{3}\]$

$\[ = \frac{{9 + 4}}{{12}}\]$

$\[ = \frac{{13}}{{12}}\]$

Hence the value is $\[\frac{{13}}{{12}}\]$.