To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 4/5 is 5/4.
So, 7 ÷ 4/5 = 7 * 5/4.
Multiplying the numerator and denominator on the right side of the equation, we get:
7 * 5 = 35
4
The quotient is therefore 35/4.
However, we can simplify this fraction. 35 can be divided by 5 and 4 can be divided by 4, giving us:
35 ÷ 5 = 7
4 ÷ 4 = 1
So, the simplified fraction is 7/1, which equals 7.
Therefore, the quotient of 7 ÷ 4/5 is 7.
For the second question, if Maurice has 4/5 of a bag of popcorn and wants to share it equally with his 2 brothers, we need to divide 4/5 by 3.
To divide a fraction by a whole number, we can multiply by its reciprocal. The reciprocal of 3 is 1/3.
So, 4/5 ÷ 3 = 4/5 * 1/3.
Multiplying the numerator and denominator on the right side of the equation, we get:
4 * 1 = 4
5 * 3 = 15
The quotient is therefore 4/15.
Therefore, each person will get 4/15 of the bag of popcorn.