Question

find three rational numbers between the given numbers using the mean method 1. 4/9 and 5/7 2. -3/2 and -5/3 3. -1 and 2

Answer 1

Step-by-step explanation:

$1) \frac{4}{9} = \frac{4 \times 7}{9 \times 7} = \frac{28}{63}$

$and \frac{5}{7} = \frac{5 \times 9}{7 \times 9} = \frac{45}{63}$

So, three rational numbers between 4/9 and 5/7 are 29/63,39/63,44,63

$2) \frac{ - 3}{2} = \frac{ - 3 \times 12}{2 \times 12} = \frac{ - 36}{24}$

$and \frac{ - 5}{3} = \frac{ - 5 \times 8}{3 \times 8} = \frac{ - 40}{24}$

So,three rational numbers between -3/2 and -5/3 are -37/24,-38/24,-39/24

$3) \frac{ - 1}{1} = \frac{ - 1 \times 4}{1 \times 4} = \frac{ - 4}{4}$

$and \frac{2}{1} = \frac{2 \times 4}{1 \times 4} = \frac{8}{4}$

So,three rational numbers between -1 and 2 are -2/4, 0, 5/4.