Answer :
The quotient of 2/3 and 4/5 is 5/4 and the quotient of 1/2 and 2/3 is 3/4.
a. We have to find the quotient of 2 over 3 divided by 4 over 5.
let us divide the fractions as follows-
2/3 ÷ 4/5
= 2/3 x 5/4 (Taking the reciprocal of the second term and changing the operation to multiplication)
= (2 x 5) / (3 x 4)
= 10/12
= 5/4
Hence, the quotient of 2/3 and 4/5 is 5/4.
b. To find the quotient by division we will divide the number and write the answer obtained.
Dividing the dividend by divisor, the answer we get is called the quotient.
i.e we have dividend ÷ divisor = quotient.
e.g 45 ÷ 9
dividing 45 by 9, we get 5. Hence, 5 is the quotient.
c. We have to find the quotient of 1/2 and 2/3.
let us divide the fractions as follows-
1/2 ÷ 2/3
= 1/2 x 3/2 (Taking the reciprocal of the second term and changing the operation to multiplication)
= (1 x 3) / (2 x 2)
= 3/4
Hence, the quotient of 1/2 and 2/3 is 3/4.
d. To find the quotient between fractions, we will first take the reciprocal of the second term and change the operation to multiplication. Later we will simplify the expression and get the quotient.
Read more about the Division of fractions:
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The complete question is -
a. What is the quotient of 2 over 3 divided by 4 over 5?
b. How do you find the quotient divide?
c. What is the quotient of 1/2 and 2/3?
d. How do you find the quotient between fractions?