Question

Add ( -7/12) + 5/16 + ( -7/8)​

Answer 1

(-7/12 +5/16)= (-7×4 + 5×3)/48

(-28 +15)/48 = 13/48

13/48 + (-7/8)

13/48 - 7/8

(1×13) - (6 ×7)/ 48

13- 42/ 48

-29/48

Answer 2

$\left(\dfrac{-7}{12}\right)+\dfrac{5}{16} + \left(\dfrac{-7}{8}\right) = -1$

Given : (-7/12) + (5/16) + (-7/8)

$\left(\dfrac{-7}{12}\right)+\dfrac{5}{16} + \left(\dfrac{-7}{8}\right)$

To Find :  Evaluate

Solution:

+ (-) = -

-( + ) = -

+ ( + ) = +

(-)(-) = +

$\left(\dfrac{-7}{12}\right)+\dfrac{5}{16} + \left(\dfrac{-7}{8}\right)$

$= -\dfrac{7}{12}\right+\dfrac{5}{16} - \dfrac{7}{8}\right$

Taking LCM of denominators = 48

LCM  - Least common multiplier of given numbers is the least number which is perfectly divisible by given numbers.

LCM = product of each factor  of highest power

$= -\dfrac{21}{48}\right+\dfrac{15}{48} - \dfrac{42}{48}\right$

$= -\dfrac{21}{48}\right - \dfrac{27}{48}\right$

$= -\dfrac{48}{48}$

= - 1

Hence $\left(\dfrac{-7}{12}\right)+\dfrac{5}{16} + \left(\dfrac{-7}{8}\right) = -1$

Learn More:

How to create equivalent fractions

https://brainly.in/question/38901112

Write the fractions and pair up the equivalent fractions from each row

brainly.in/question/5451929

find the equivalent fraction of 56/70 with (I) numerator 4 (ii ...

brainly.in/question/12231577