Question

Simplify. 14/3 - 17 /6 - 37/ 12 + 97/ 18
Please do explaination no direct answer​

Answer 1

$\frac{149}{36}$

Step-by-step explanation:

$Given, \: \: \frac{14}{3} - \frac{17}{6} - \frac{37}{12} + \frac{97}{18} \\ Now, \: \: LCM(3,6,12,18)=36\\ so, \: \: \frac{14}{3} - \frac{17}{6} - \frac{37}{12} + \frac{97}{18} \\ = \frac{14 \times 12- 17 \times 6 - 37 \times 3 + 97 \times 2}{36} \\ = \frac{168 - 102 - 111 + 194}{36} \\ = \frac{149}{36}$

Answer 2

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

        Given data:-$\frac{14}{3}-\frac{17}{6}-\frac{37}{12}+\frac{97}{18}.$

        To find:- value of the expression.

         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/subtracting the numerators over the denominators.

        Therefore,

         $= \frac{14}{3}-\frac{17}{6}-\frac{37}{12}+\frac{97}{18}\\= \frac{14\times12-17\times6-37\times3+97\times2}{36}\\=\frac{168-102-111+194}{36}\\= \frac{149}{36}.$

       Hence, the value will be $\frac{149}{36}.$