Question

Find four rational number between 2/5 and 1/2

please answer with full solution i will mark you brilliant​

Answer 1

Answer:

4 rational numbers between 2/5 and 1/2 is (21/50), (22/50), (23/50), (24/50).

Step-by-step explanation:

First we must make the rational numbers in terms of like fractions, where their denominator must be equal.

2/5 and 1/2

Finding LCM of 5 and 2

LCM = 10

2/5 = (2/5) × 2/2

2/5 = (2 × 2)/(5 × 2)

2/5 = 4/10

Similarly,

1/2 = (1/2) × 5/5

1/2 = (1 × 5)/(2 × 5)

1/2 = 5/10

Thus,

Now our Question becomes,

Find 4 rational numbers between 4/10 and 5/10

Now, to find 4 rational numbers, we must multiply the next whole number with both the fractions.

Here, the next whole number after 4 is 5

Thus,

(4/10) × 5/5 = (4 × 5)/(10 × 5)

= 20/50

Next,

(5/10) × 5/5 = (5 × 5)/(10 × 5)

= 25/50

Thus,

Now the 4 rational numbers between 20/50 and 25/50 is

(21/50), (22/50), (23/50), (24/50)

Thus,

4 rational numbers between 2/5 and 1/2 is (21/50), (22/50), (23/50), (24/50).

Hope it helped and you understood it........All the best

Answer 2

Answer:

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