Question

2/3 + 4/5 + 7/15 + 11/20​

Answer 1

To find : sum of rational numbers $\frac{2}{3} + \frac{4}{5} + \frac{7}{15} + \frac{11}{20}$

Solution:

• As per given condition we write , $\frac{2}{3} + \frac{4}{5} + \frac{7}{15} + \frac{11}{20}$
• To find the sum of given rational numbers we get need to equalize denominators of both the rational numbers. By taking LCM

• Therefore, LCM = $60$

• Now, multiplying numerators of both rational numbers by same number as multiplied by denominators to make LCM.

• Therefore, we get ,

         $\frac{2}{3}+\frac{4}{5} + \frac{7}{15} + \frac{11}{20} \\=\frac{2 \times 20}{60}+\frac{4\times 12}{60}+ \frac{7 \times 4}{60}+ \frac{11\times 3}{60} \\= \frac{40 + 48 + 28 + 33}{60} \\= \frac{149}{60} \\= 2.48$

Hence, sum of $\frac{2}{3} + \frac{4}{5} + \frac{7}{15} + \frac{11}{20}$ is $\frac{149}{60}$ or $2.48$ .

Answer 2

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

    Given data:-$\frac{2}{3}+\frac{4}{5}+\frac{7}{15}+\frac{11}{20}.$.

     To find:- the value of given 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 the numerators over the denominators.

        Therefore,

        $=\frac{2}{3}+\frac{4}{5}+\frac{7}{15}+\frac{11}{20}\\=\frac{2\times20+4\times12+7\times4+11\times3}{60} \\=\frac{149}{60}.$

 Hence, the value will be $\frac{149}{60.}$