Question

if a=2upon3 ,3upon4 then find the value of 2a-b,a+1upon2b

Answer 1

a=2/3 b=3/4 (i)=7/12 (ii)25/24

hence proof

Answer 2

Question:

If $a = \dfrac{2}{3}, b = \dfrac{3}{4}$ then find the value of

1. 2a - b

2. a + $\dfrac{1}{2}$b

Solution:

1. 2a - b

$2 (\dfrac{2}{3}) - \dfrac{3}{4}$

$= \dfrac{4}{3} - \dfrac{3}{4}$

$= \dfrac{16-9}{12}$

$= \bold{\dfrac{7}{12}}$

2. $\bold{a + \dfrac{1}{2}b}$

$\dfrac{2}{3} + \dfrac{1}{2} (\dfrac{3}{4})$

$= \dfrac{2}{3} + \dfrac{3}{8}$

$= \dfrac{16+9}{24}$

$= \bold{\dfrac{25}{24}}$