Question

subtract the sum of 2/3 &5/6 from the sum of 7/3& 3/5​

Answer 1

Answer:

Step-by-step explanation:

2/3+5/6=4+5/6=9/6=3/2

7/3+3/5=44/15

3/2-44/15=32−441/5=−1 13/30

Answer 2

Answer:

$\frac{29}{15}$

Step-by-step explanation:

Lets add $\frac{2}{3}$ and $\frac{5}{6}$ first

Since, there denominators are different, lets make there denominators first. LCM of 3 and 6 is 12.

$\frac{2}{3}$ × $\frac{4}{4}$ = $\frac{8}{12}$ … (1)

$\frac{5}{6}$ × $\frac{2}{2}$ = $\frac{10}{12}$ … (2)

Adding (1) and (2)$\frac{18}{12}$

$= \frac{8}{12} + \frac{10}{12} = \frac{8 + 10}{12} = \frac{18}{12}$

Now lets add $\frac{7}{3}$ and $\frac{3}{5}$

Since, there denominators are different, lets make there denominators first. LCM of 3 and 5 is 15.

$\frac{7}{3}$ × $\frac{5}{5}$ = $\frac{35}{15}$ … (3)

$\frac{3}{5}$ × $\frac{3}{3}$ = $\frac{9}{15}$ … (4)

Adding (3) and (4)

$= \frac{35}{15} + \frac{9}{15} = \frac{35 + 9}{15} = \frac{44}{15}$

Now, we have $\frac{18}{12}$ and $\frac{44}{15}$

We have to substract $\frac{18}{12}$ from  $\frac{44}{15}$

Lets make their denominators equal. LCM of 12 and 15 is 60

$\frac{18}{12}$ × $\frac{5}{5}$ = $\frac{90}{60}$  … (5)

$\frac{44}{15}$ × $\frac{4}{4}$ = $\frac{176}{60}$  … (6)

Subtracting (5) from (6)

$= \frac{176}{60} - \frac{90}{60} = \frac{176 - 60}{60} = \frac{116}{60} = \frac{29}{15}$ (simplest form)