Question

if k = a+b/a-b , where a = 2/5 and b= 1/2 then k is equal is ?​

Answer 1

Answer:

(ii)- Radha bought 16 packets containing 2 kg of sweets in each and 8 packets

containing 3 kg of sweets in each. Calculate the total quantity of sweets bought by

her. (

Answer 2

• As per the data, we have to find the value of the given expression.

            Given data:- $a=\frac{2}{5}, \ b=\frac{1}{2} .$

            To find:- The value of $k.$

            Solution:-

• We will take the LCM of the denominators, and make denominators the same.

• We will Convert the given fractions to equivalent fractions with the denominator as the LCM.

• Adding the numerators over the denominators.

        Therefore,

                $k=\frac{\frac{2}{5} +\frac{1}{2} }{\frac{2}{5}-\frac{1}{2} }\\k=\frac{\frac{2 \cdot 2+5}{5 \cdot 2}}{\frac{2 \cdot 2+5(-1)}{5 \cdot 2}}\\k=\frac{\frac{4+5}{5 \cdot 2}}{\frac{4-5}{5 \cdot 2}}\\k=-\frac{\frac{9}{5 \cdot 2}}{\frac{1}{5 \cdot 2}}\\k=-\frac{9}{5 \cdot 2} \div \frac{1}{5 \cdot 2}\\k=-\left(\frac{9}{5 \cdot 2}\right)(5 \cdot 2)\\k=-\frac{9}{5 \cdot 2} \cdot 10\\k=-10 \cdot \frac{9}{5 \cdot 2}\\k=-\frac{10 \cdot 9}{5 \cdot 2}\\k=-\frac{2 \cdot 5 \cdot 9}{5 \cdot 2}\\k=9.$

     Hence we will get the value $k=9.$