Question

- \frac { 2 } { 5 } \times \frac { 3 } { 5 } + \frac { 5 } { 2 } - \frac { 3 } { 5 } \times \frac { 1 } { 6 }​

Answer 1

Answer:

The answer to the problem given in the question is

$\frac { 2 } { 5 } \times \frac { 3 } { 5 } + \frac { 5 } { 2 } - \frac { 3 } { 5 } \times \frac { 1 } { 6 }$  $=\frac{132}{50}$ $= 2\frac{16}{25}$

Step-by-step explanation:

We can solve this problem step by step

$\frac { 2 } { 5 } \times \frac { 3 } { 5 } + \frac { 5 } { 2 } - \frac { 3 } { 5 } \times \frac { 1 } { 6 }$

The BODMAS rule is applied here. Since there are no brackets, let us do the multiplication parts first.

$= \frac{2 \times 3}{5 \times 5}+ \frac{5}{2}- \frac{3 \times 1}{5 \times 6}$

$= \frac{6}{25} +\frac{5}{2} -\frac{3}{30}$

Simplifying $\frac{3}{30}$, we get $\frac{1}{10}$. So,

$=\frac{6}{25}+ \frac{5}{2} -\frac{1}{10}$

Now we have to take the LCM of the three denominators since the three fractions have different denominators.

$25 = 5^{2} \\2=2 \times 1\\10= 5 \times 2$

The LCM of these numbers is $5^{2} \times 2 =50$.

That is, the LCM is 50.

$= \frac{6 \times 2}{25 \times 2}+\frac{5 \times 25}{2 \times 25}- \frac{1 \times 5}{10 \times 5}$

$= \frac{12}{50} +\frac{125}{50}-\frac{5}{50}$

$=\frac{12+125-5}{ 50}$

$=\frac{132}{50}$

Simplifying the fraction, we get $\frac{66}{25}$

Since this is an improper fraction, let us convert it into is mixed fraction.

That is  $2\frac{16}{25}$.

$=2\frac{16}{25}$

Answer 2

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Step-by-step explanation:

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