**Question 1:**

**Solve: -2/3×3/5+5/2-3/5×1/6**

2/3×3/5+5/2-3/5×1/6

=2/5+5/2-1/10

=(2*2+5*5-1)/10

=(4+25-1)/10

=28/10

=14/5

**Question 2:**

**Solve the equation: 15/4 – 7x =9**

15/4 – 7x =9

Or, (15 – 28x)/4 =9

Or, 15 – 28x=9*4

Or, 15 – 28x =36

Or, -28x=36-15

Or, -28x=21

Or, x=-21/28=-3/4

**Question 3:**

**Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?**

Let numbers are 5x and 3x respectively.

5x-3x=18

2x=18

X=18/2=9

Numbers are=5x, 3x=45, 27

**Question 4:**

**Write 815642120 in words (in the International system).**

815642120

= 815,642,120

= eight hundred fifteen million six hundred forty-two thousand one hundred twenty

**Question 5:**

**Find x in 2x+5÷3=3x-10**

2x+5÷3=3x-10

Or, 5÷3=3x-2x-10

Or, 5÷3=x-10

Or, 5÷3+10=x

Or, 5/3 + 10 =x

Or, x=(50+30)/30

Or, x=80/30

Or, x=8/3

**Question 6:**

**What is the lowest term in 64/32?**

64/32

=2/1

lowest term in 64/32=2/1

**Question 7:**

**Are 4/6 and 8/12 equal ?**

8/12

=4/6

So, 4/6 and 8/12 are equal.

**Question 8:**

**One-fifth of a number is 9. Find the number**

Let number=x

ATQ,

(1/5)x=9

Or, x/5=9

Or, x=9*5

Or, x=45

**Question 9:**

**What should be added to 1/4 to get 4/9?**

Let x should be the required number.

ATQ,

(1/4)+x=4/9

Or, (1+4x)/4=4/9

Or, (1+4x)=16/9

Or, 4x=16/9-1

Or, 4x=(16-9)/9

Or, 4x=7/9

Or, x=7/36

**Question 10:**

**Fine the value of x when (5x-4) =0**

(5x-4) =0

Or, 5x =4

Or, x=4/5

**Question 11:**

**what number should be added to - 7/8 to get 4/9**

let the required number is x.

According to the question,

- 7/8 + x = 4/9

x=4/9+7/9

=(4+7)/9

=11/9

Required number=11/9

**Question 12:**

**what number should be added to -5/12 to get 7/6**

let the required number is x.

According to the question,

-5/12 + x = 7/6

x=7/6+5/12

=(14+5)/12

=19/9

Required number=19/12

**Question 13:**

**what should be subtracted from -4/9 to get 5/12**

let the required number is x.

According to the question,

-4/9-x=5/12

Or, -x=5/12+4/9

Or, x=(15+12)/36

Or, -x=37/36

Or,x=-37/36

Required number=-37/36

**Question 14:**

**what number should be added to -5/7 to get -7/9**

let the required number is x.

According to the question,

-5/7+x=-7/9

Or, x=-7/9 + 5/7

Or, x=(-49+45)/63

Or, x=-4/63

Required number=-4/63

**Question 15:**

**what number should be subtracted from -2/3 to get -1/6**

let the required number is x.

According to the question,

-2/3-x=-1/6

Or, -x=-1/6+2/3

Or, -x=(-1+4)/6

Or, -x=3/6

Or, -x=1/2

Or, x=-1/2

Required number=-1/2

**Question 16:**

**what number should be added to 3/8 to get 7/9**

let the required number is x.

According to the question,

3/8+x=7/9

Or, x=7/9-3/8

Or, x=(56-27)/72

Or, x=29/72

Required number=29/72

**Question 17:**

**what number should be added to 3 by 8 to get minus 1 by 24**

or

**what number should be added to 3/8 to get - 1/24**

or

**what should be added to 3/8 to get-1/24**

let the required number is x.

According to the question,

3/8+x=1/24

Or, x=1/24-3/8

Or, x=(1-9)/24

Or, x=-8/24

Or, x=-1/3

Required number=29/72

**Question 18:**

**simplify: 2/3 + -4/5 + 7/15 + -11/20**

2/3 + -4/5 + 7/15 + -11/20

=2/3 - 4/5 + 7/15 - 11/20

=(40-48+28-22)/60

=-2/60

=-1/30

**Question 19:**

**what rational number should be added to -5/11 to get -7/8**

let the required number is x.

According to the question,

-5/11+x=-7/8

Or, x=-7/8+5/11

Or, x=(-56+40)/88

Or, x=-16/88

Or, x=-2/11

Required number=-2/11

**Question 20:**

**which of the rational numbers 4/9, -5/6, -7/-12 and 11/-24 is the smallest?**

4/9=0.4444444444……

**-5/6=-0.833333333333………(smallest)**

**-7/-12=7/12=0.583333333333……..(greatest)**

11/-24=-11/24=-0.4583333333333………

**Question 21:**

**the product of two numbers is -20/9. if one of the numbers is 4, find the other.**

Let other number=x

According to the question,

x * 4=-120/9

or, x=-30/9

or, x=-10/3

so, other number is 10/3.

**Question 22:**

**which of the two rational numbers 5 / 7 or 3 / 5 is greater?**

5/7=0.714285714

3/5=0.6

So, 5/7 is greater.
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