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1. The sum of the rational numbers -4/19 and -2/57 is _____

(a) -14/57

(b) 5/22

(c) -20/57

(d) 14/27

**Solution:**

= -4/19+(-2/57)

= (-12-2)/57

= -14/57

2. The Reciprocal of a Positive Rational Numbers is

a) is a positive rational number

(b) is a negative rational number

(c) can be either a positive or a negative rational number

(d) does not exist

**Solution:**

a) is a positive rational number

3. The Product of Two Rational Numbers is 15/9. If one of the numbers is -3, find the other?

(a) -5/9

(b) 3/12

(c) 12/35

(d) –8/10

**Solution:**

(a) -5/9

-3*x= 15/9

x = (15/9)/-3/1

= 15/9*1/-3

= 15/-27

= -5/9

4. Fill in the Blanks 4/12 ÷ (_____) = -32/18

(a) -20/32

(b) -11/19

(c) -15/14

(d) -3/16

**Solution:**

(d) -3/16

(4/12)/x = -32/18

(4/12)/(-32/18)=x

x= 4/12*18/-32

= (4*18)/(12*-32)

= 72/-384

= -3/16

5. Which of the following forms a pair of equivalent rational numbers?

(a) 35/40 and 25/15

(b) -25/50 and 50/-77

(c) -8/16 and -24/48

(d) 9/72 and -3/24

**Solution:**

(c) -8/16 and -24/48

Reducing the given fractions we get the same rational number therefore, they are Equivalent Rational Numbers.

6. The Value of {-4/12 × 20/-2} is _____

(a) -7/11

(b) -7/21

(c) -6/12

(d) 10/3

**Solution:**

(d) 10/3

= -4/12*20/-2

= (-4*20)/(12*-2)

= -80/-24

= 80/24

= 10/3

7. Which of the following rational numbers is in the standard form?

(a) -7/26

(b) -26/52

(c) –12/16

(d) 48/-92

**Solution:**

(a) -7/26

The above option is said to be in its standard form as it has no other factors in common alongside the denominator is positive.

8. Simplify 2/5 + -3/5 + 8/5 + -11/5?

(a) -1/4

(b) -12/60

(c) -4/5

(d) – 5/30

**Solution:**

(c) -4/5

= 2/5 + -3/5 + 8/5 + -11/5

= (2-3+8-11)/5

= (10-14)/5

= -4/5

9. Which among the following rational numbers is the greatest?

(a) 2/9

(b) -5/3

(c) -7/10

(d) 11/-22

**Solution:**

(a) 2/9

Among all the options since 2/9 is positive and the rest are negative numbers, it is greater.

10. What number should be added to 2/8 to get -1/12?

(a) -7/4

(b) -1/3

(c) 13/72

(d) 12/30

**Solution:**

(b) -1/3

2/8+x = -1/12

x = -1/12-2/8

= (-2-6)/24

= -8/24

= -1/3