Question

write ten rational number between :
a. -4/5 and 4/7
b. 1/6 and 1/3
also explain step by step plz​

Answer 1

        Answer:

a. 30/35 , 32/35 , 7/35 , 14/35 , 10/35 , 11/35 , -21/35 , -6/35 , 1/35 , 6/35

b. 21/120 , 22/120 , 25/120 , 26/120 , 31/120 , 33/120 , 34/120 , 36/120 , 39/120 , 23/120

Step-by-step explanation:

a. -4/5 and 4/7

convert them into like terms by taking LCM of the denominator

LCM of 5 and 7 is 35

-4 / 5 × 7 / 7 = -28 / 35

4 / 7 × 5 / 5 = 20 / 35

rational numbers between -28 / 35 and 20 / 35

30/35 , 32/35 , 7/35 , 14/35 , 10/35 , 11/35 , -21/35 , -6/35 , 1/35 , 6/35

b. 1/6 and 1/3

convert them into like terms by taking LCM of the denominator

LCM of 3 and 6 is 6

1 / 3 × 2 / 2 = 2 / 6

1 / 6 × 1 / 1 = 1 / 6

Multiply numerator and denominator by 20

2 / 6 × 20 / 20= 40 / 120

1 / 6 × 20 / 20 = 20 / 120

rational numbers between 40 / 120 and 20 / 120

21/120 , 22/120 , 25/120 , 26/120 , 31/120 , 33/120 , 34/120 , 36/120 , 39/120 , 23/120

                        ⊕Thank You ⊕