Question

Multiply the sum of 2/-3 and 5/6 by the sum of 3/5 and 4/2​

Answer 1

Answer:

$\frac{13}{30}$

Step-by-step explanation:

First, we have to find the sum of $\frac{-2}3$ and $\frac{5}6$

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

Taking LCM = 6,

$\frac{-4 + 5}6$

= $\frac{1}6$

Now, find the sum of $\frac{3}5$ and $\frac{4}2$ $[\frac{4}2 = 2]$

$\frac{3}5$ + $\frac{2}1 [2$ can be written as $\frac{2}1$ as well, they mean the exact same.$]$

Taking LCM = 5,

$\frac{3 + 10}5$

= $\frac{13}5$

Now, multiply both the fractions.

$\frac{1}6$ × $\frac{13}5$

= $\frac{13}{30}$

Answer 2

$</p><p>huge\mathfrak\blue{First, we have to find the sum of \frac{-2}3 </p><p>3</p><p>−2</p><p> </p><p> and \frac{5}6 </p><p>6</p><p>5</p><p> </p><p> </p><p></p><p>\frac{-2}3 </p><p>3</p><p>−2</p><p> </p><p> + \frac{5}6 </p><p>6</p><p>5</p><p> </p><p> </p><p></p><p>Taking LCM = 6,</p><p></p><p>\frac{-4 + 5}6 </p><p>6</p><p>−4+5</p><p> </p><p> </p><p></p><p>= \frac{1}6 </p><p>6</p><p>1</p><p> </p><p> </p><p></p><p>Now, find the sum of \frac{3}5 </p><p>5</p><p>3</p><p> </p><p> and \frac{4}2 </p><p>2</p><p>4</p><p> </p><p> [\frac{4}2 = 2][ </p><p>2</p><p>4</p><p> </p><p> =2]</p><p></p><p>\frac{3}5 </p><p>5</p><p>3</p><p> </p><p> + \frac{2}1 [2 </p><p>1</p><p>2</p><p> </p><p> [2 can be written as \frac{2}1 </p><p>1</p><p>2</p><p> </p><p> as well, they mean the exact same.]]</p><p></p><p>Taking LCM = 5,</p><p></p><p>\frac{3 + 10}5 </p><p>5</p><p>3+10</p><p> </p><p> </p><p></p><p>= \frac{13}5 </p><p>5</p><p>13</p><p> </p><p> </p><p></p><p>Now, multiply both the fractions.</p><p></p><p>\frac{1}6 </p><p>6</p><p>1</p><p> </p><p> × \frac{13}5 </p><p>5</p><p>13</p><p> </p><p> </p><p></p><p>= \frac{13}{30} </p><p>30</p><p>13}</p><p></p><p></p><p> </p><p> </p><p>$

This is the answer.

Hope it helps.