Question

CHAPTER 4, 5- RATIONAL NUMBERS AND OPERATIONS ON RATIONAL NUMBERS
Represent the following rational numbers on the number line:
a)-3/4     b) 31/-6
Write the following rational numbers in the standard form:
a)33/-77    b) -45/-105
Arrange the following rational numbers in the descending order:
2/-3, -4/9, -5/12, 7/-18
Subtract : 1) (-3/4) from (1/2)    2) (5/8) from (-3/14).
What should be added to (-7/20) to get (-2/5)?
The sum of two rational numbers is (-3/7). If one of the number is (-5/8) find the other.
By what number should (-6/11) be multiplied to get (-32/11)?
Find the rational number between:
1) 3 and 4     2) -7 and -6
Find three rational numbers between:
1) -5 and 8     2) ( -1/3 ) and (1/2) 3) -4/5 and -3/7
Simplify (−5/8 × 3/7 × 4/-15) + (4/7 × -21/8)
What is the additive inverse of -9/11?
Give four rational numbers equivalent to 3/9
Which is greater: 2/3 or 5/2
Mark -5/6, -11/6, 7/6, 1/6, 0/6, -4/6 on a number line.
Reduce to standard form 36/54
Find the value of 4/14 ÷ 28/80​

Answer 1

Answer:

Fraction of the shaded portion = Number of shaded parts/ Total number of parts

(i) From the figure we know that

Total number of parts = 3

Number of parts which are shaded = 2

So we get

Fraction of the shaded portion = 2/3

(ii) From the figure we know that

Total number of parts = 15

Number of parts which are shaded = 11

So we get

Fraction of the shaded portion = 11/15

(iii) From the figure we know that

Total number of parts = 9

Number of parts which are shaded = 8

So we get

Fraction of the shaded portion = 8/9

(iv) From the figure we know that

Total number of parts = 7

Number of parts which are shaded = 3

So we get

Fraction of the shaded portion = 3/7

(v) From the figure we know that

Total number of parts = 9

Number of parts which are shaded = 4

So we get

Fraction of the shaded portion = 4/9

(vi) From the figure we know that

Total number of parts = 4

Number of parts which are shaded = 2

So we get

Fraction of the shaded portion = 2/4 = 1/2