Question

find ten rational numbers between-2/5 and 1/2​

Answer 1

Answer:

Step-by-step explanation:

-2/5 and 1/2 are not equivalent fractions

So then we should find the their equivalent fraction

LCM of denominators are = 10

So then..,

-2/5= -4 /10 and 1/2 = 5/10

In between -4/10 and 5/10 only 9 rational numbers are there.

So as we need to find 10...and to get it we should find another equivalent fraction

-4/10= -8/20. 5/10= 10/20

Then the rational no. Between -8/20 and 10/20 are -7/20, -6/20, -5/20, -4/20, -3/20, -2/20, -1/20, 1/20, 2/20..7/20...etc

Numbers between may vary according ones method or choosing of numbers.

Answer 2

Answer:

Step-by-step explanation:

Other than average method, rational numbers can be found by converting the given rational numbers into equivalent rational numbers with same denominators.

The LCM for 5 and 2 is 10.

-2/5 = (-2 × 2) / 10 = -4/10

1/2 = (1 × 5) / 10 = 5/10

-4/10 = (-4 × 2 / 10 × 2) = -8/20

5/10 = (5 × 2 / 10 × 2) = 10/20

So, we now know that -7, -6, -5,-4, -3, -2, -1, 0, 1 , 2, 3, 4, 5, 6, 7, 8, 9, 10 are integers between numerators -8 and 10.

Rational numbers between -2/5 and 1/2 are -7/20, -6/20, -5/20, -4/20 -3/20, -2/20, -1/20, 0, 1/20... 9/20