Question

1)Find five equivalent fractions of each of the following:
a) 2/3
b) 1/5​

Answer 1

Answer: (a). Explanation:

All those fractions obtained by multiplying both the numerator and denominator of 2/3 by the same integer are equivalent to 2/3.

2/3 × 2/2 = 4/6

2/3 × 3/3 = 6/9

2/3 × 4/4 = 8/12

2/3 × 5/5 = 10/15 and so on...

4/6, 6/9, 8/12, 5/10 ... are equivalent to 2/3

Thus, 4/6, 6/9, 8/12, 5/10 ... are equivalent to 2/3.

(B) consider the fraction 1/5

Multiplying numerator and denominator with 2, we get 1/5 = 2/10

Multiplying numerator and denominator with 3, we get 1/5 = 3/15

Multiplying numerator and denominator with 4, we get 1/5 = 4/20

Therefore, we can conclude that,

1/5 = 2/10 = 3/15 = 4/20

Answer 2

Answer:

a) 2/3

2/3 x 2/2 = 4/6

2/3 x 3/3 = 6/9

2/3 x 4/4 = 8/12

2/3 x 5/5 = 10/15

2/3 x 6/6 = 12/18

b) 1/5

1/5 x 2/2 = 2/10

1/5 x 3/3 = 3/15

1/5 x 4/4 = 4/20

1/5 x 5/5 = 5/25

1/5 x 6/6 = 6/30

Step-by-step explanation:

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