Question

8/15 - 7/10 + 2/5
find the answer
​

Answer 1

Answer:

The value of  $\frac{8}{15} -\frac{7}{10} +\frac{2}{5}$ = $\frac{7}{30}$.

Step-by-step explanation:

Given : $\frac{8}{15} -\frac{7}{10} +\frac{2}{5}$

To find : The value of above expression.

Solution :

• The given expression is,

        $\frac{8}{15} -\frac{7}{10} +\frac{2}{5}$

• To find the answer of this expression, we have to first find the LCM of the denominators.

• ∴ LCM of $15,10$ and $5$ is $30$.

• ∴ Equating the denominator of the given expression, we get

           $\frac{8}{15} -\frac{7}{10} +\frac{2}{5}$$=\frac{8*2}{15*2} -\frac{7*3}{10*3} +\frac{2*6}{5*6}$

                          $= \frac{16}{30} -\frac{21}{30} +\frac{12}{30}$

                          =  $\frac{28}{30} -\frac{21}{30}$

                          = $\frac{7}{30}$

• ∴ The value of  $\frac{8}{15} -\frac{7}{10} +\frac{2}{5}$ = $\frac{7}{30}$.

Answer 2

As per the data given in the question,

We have to determine the value of the expression given in the question.

As per question,

It is given that,

$\frac{8}{15} -\frac{7}{10} +\frac{2}{5}$

As the given terms are in fraction,

So, in order to solving the value we will first determine the LCM of denominator of all the terms, then by addition and subtraction we will determine the value of expression.  

The given expression is,

$\frac{8}{15} -\frac{7}{10} +\frac{2}{5}$

To find the answer of this expression, we have to first find the LCM of the denominators.

∴ LCM of 15,10 and 5 is 30.

∴ Equating the denominator of the given expression, we get $\frac{8}{15} -\frac{7}{10} +\frac{2}{5}=\frac{8\times 2}{15\times 2} -\frac{7\times 3}{10\times 3} +\frac{2\times 6}{5\times 6}\\= \frac{16}{30} -\frac{21}{30} +\frac{12}{30}\\= \frac{28}{30} -\frac{21}{30}\\= \frac{7}{30}$

Hence, value of the expression given in the question will be $\frac{8}{15} -\frac{7}{10} +\frac{2}{5} = \frac{7}{30}.$