Question

heya guys, plz do these sums for me. I will follow you and make your answer the BRAINLIEST! plz help me out.plzzz. It's from the chapter of rational numbers​

Answer 1

Step-by-step explanation:

(i)

Given, (-7/17) + (6/17)

= (-7 + 6)/17

= (-1/17)

(ii)

Given, (-5/12) + (7/-12)

= (-5/12) - (7/12)

= (-5 - 7)/12

= -12/12

= -1

(iii)

Given: (-11/18) + (5/-12)

= (-11/18) - (5/12)

LCM = 36

= (-22/36) - (15/36)

= (-22 - 15)/36

= (-37/36)

(iv)

Given: (-11/6) + (-3/4) + (5/8) + (-7/3)

LCM = 24

= (-44/24) - (18/24) + (15/24) - (56/24)

= (-44 - 18 + 15 - 56)/24

= -103/24

Hope it helps!

Answer 2

ANSWERS

1) $\dfrac{-1}{17}$

2) $\dfrac{-12}{12}$

4) $\dfrac{-37}{36}$

5) $\dfrac{-103}{24}$

STEP BY STEP EXPLANATION

1)$\dfrac{-7}{17} + \dfrac {6}{17}$

Since both had same or common denominator we get =>

$\dfrac{-7+6}{17}$

=> $\dfrac{-1}{17}$

2) $\dfrac{-5}{12} + \dfrac {7}{-12}$

This can also be written as =>

$\dfrac{-5}{12} + \dfrac {-7}{12}$

Again we can see that both has common denominator that means we have =>

$\dfrac{-5-7}{12}$

=> $\dfrac{-12}{12}$

4) $\dfrac{-11}{18} + \dfrac {5}{-12}$

This can be written as =>

$\dfrac{-11}{18} + \dfrac {-5}{12}$

The LCM of two numbers will be =>

18 = 2*3*3 = 2 * 3²

12 = 2*3*2 = 2² * 3

LCM(12,18) = 2² * 3²

=>LCM(12,18) = 36

So we get=>

$\dfrac{-22 - 15}{36}$

=> $\dfrac{-37}{36}$

5) $\dfrac{-11}{6} + \dfrac {-3}{4}+ \dfrac{5}{8} + \dfrac{-7}{3}$

Here all the fractions has different numerators that means we had to find LCM if the denominators =>

Prime factorisation of 6,4,8 and 3 gives =>

6= 2 * 3

4=2 * 2

8= 2 * 2 * 2 = $2^3$

3 = 3 * 1

So,

LCM( 6,4,8 and 3 )

= $2^3$ * 3 * 1

=> LCM(6,4,8 and 3 ) = 24.

Now we shall convert the denominator into 24 by multiply with suitable numbers.

So the new fractions are =>

$\dfrac{-44}{24} + \dfrac {-18}{24}+ \dfrac{15}{24} + \dfrac{-56}{24}$

=> $\dfrac{-44-18+15-56}{24}$

=> $\dfrac{-103}{24}$

Remember

A fraction has two parts =>

1)Numerator

2)Denominator