Question

-6/7+-5/6+-4/9+-15/7​

Answer 1

Answer:

6/5:15/7:28/9 is 378 : 675 : 980 .

Step-by-step explanation:

Given data:

\frac{6}{5}

5

6

: \frac{15}{7}

7

15

: \frac{28}{9}

9

28

To find: simplying the given ratio of fractions

Solution:

\frac{6}{5}

5

6

: \frac{15}{7}

7

15

: \frac{28}{9}

9

28

taking L.C.M. of the denominators of given fractions i.e., L.C.M of (5,7,9) = 5 * 7 * 9 = 315 and then multiplying the L.C.M = 315 with each of the fractions

= \frac{6}{5}

5

6

* 315 : \frac{15}{7}

7

15

*315 : \frac{28}{9}

9

28

* 315

= 6 * 63 : 15 * 45 : 28 * 35

= 378 : 675 : 980

Thus, on simplifying \frac{6}{5}

5

6

: \frac{15}{7}

7

15

: \frac{28}{9}

9

28

we get the ratio as 378 : 675 : 980.

Learn More:

Simplify..........................

https://brainly.in/question/4226386

Simplify the following :-

a)5/6*32/25*3/2

b)24/27*6/5*14/8

c)11/25*15/22*4/9

d)18/10*7/8*12/49

e)1/2*4/5*3/7*6/5

f)2/3*9/11*12/13*26/63

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Answer 2

$\huge\underline{ \underline{ \bf{ \blue{ \: solution \: : = }}}} </p><p>$

$= > \: \: \: \: \: \bf \frac{ - 6}{7} - \frac{ 5}{6} - \frac{4}{9} - \frac{15}{7}$

$= > \bf \: \: \: \frac{ - 6 - 15}{7} - \frac{5}{6} - \frac{4 }{9}$

$\bf = > \: \: \sf{ \cancel{ \dfrac{ - 21}{7}}} - \sf{ \large{\frac{5}{6} - \frac{4}{9} }}$

$= > \: \: \bf - 3 - \frac{5}{6} - \frac{4}{9}$

LCM=18

$\bf = > \: \: \frac{ - 54 + 15 + 8}{18}$

⠀⠀⠀⠀$\bf{ \large \frac{ - 77}{18} }$