# Worksheet on Adding Rational Numbers | Addition of Rational Numbers Worksheets

Assess your knowledge on Rational Numbers Addition using the Worksheet on Adding Rational Numbers. Bridge the knowledge gap and prepare accordingly. Practice the Questions in the Adding Rational Numbers Worksheets and ace up your preparation level. Questions are based on the Adding Rational Numbers with the Same Denominator and Different Denominator. Make use of Rational Numbers Worksheets to get a complete idea of the concept.

1.  Add the following Rational Numbers -2/3 and 4/3

Solution:

Since the Given Rational Numbers are having the Same Denominator

Just add the Numerators and Keep the Denominator Unchanged.

-2/3 + 4/3 = (-2+4)/3

= 2/3

2. Add the Rational Numbers 11/8 and -5/8

Solution:

Since the Given Rational Numbers are having the Same Denominator

Just add the Numerators and Keep the Denominator Unchanged.

11/8+(-5/8) = (11-5)/8

= 6/8

= 3/4

3. Add the Rational Numbers 1/-10 and 2/-15?

Solution:

Given Rational Numbers are 1/-10 and 2/-15

Rearranging the Denominators to Change them to positive

1/-10 = 1*(-1)/-10*(-1) = -1/10

2/-15 = 2*(-1)/-15*(-1) = -2/15

Find the LCM of Denominators and then express them as Equivalent Rational Numbers.

LCM(10, 15) = 30

-1/10 = -1*3/10*3 = -3/30

-2/15= -2*2/15*2 = -4/30

= -3/30-4/30

= -7/30

4. Simplify the Expression 8/7 + -10/6?

Solution:

Since the Denominators aren’t the same change them to Equivalent Rational Numbers.

Find the LCM of 7,6

LCM(7, 6) = 42

Changing the Given Rational Numbers to Equivalent Rational Numbers using the LCM obtained.

8/7 = 8*6/7*6 = 48/42

10/6 = 10*7/6*7 = 70/42

= 48/42 -70/42

= -22/42

= -11/21

5. Simplify 7/8 + 3/-2?

Solution:

Since the Denominators aren’t the same change them to Equivalent Rational Numbers.

Rearrange the denominator to positive i.e. 3/-2 = 3*(-1)/-2*(-1) = -3/2

Find the LCM of 8, 2

LCM(8, 2) = 8

Changing the Given Rational Numbers to Equivalent Rational Numbers using the LCM obtained.

7/8 = 7*1/8*1 = 7/8

– 3/2 = -3*4/2*4

= -12/8

Adding the Equivalent Rational Numbers we have

= 7/8 -12/8

= -5/8

6. Add and Express the Sum of 24/5 + -11/3 as a Mixed Fraction?

Solution:

Given Rational Numbers are 24/5 and -11/3

Since the Denominators aren’t the same simply find the LCM and change them as Equivalent Rational Numbers

LCM(5, 3) =15

24/5 = 24*3/5*3 = 72/15

-11/3 = -11*5/3*5 = -55/15

Adding the Rational Numbers we get

= 72/15-55/15

= 17/15