Question

Clark has 7 and 1 over 2 feet of wire.

Part A: How many 3 over 4 foot pieces can Clark cut from the 7 and 1 over 2 feet of wire? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)

Answer 1

A fraction is a way to describe a part of a whole. Clark can cut 10 pieces of wire from  7 and 1 over 2 feet of wire.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

A.) Given that Clark has 7 and 1 over 2 feet of wire. Therefore, the total wire available with Clark is,

Wire Available = 7 1/2 = (7x2 + 1)/2 = 15/2

Now, since Clark wants to cut 3 over 4-foot pieces of wire. Therefore, the number of wires that can be cut is,

Number of pieces = (15/2)/(3/4) = (15x4)/(2x3) = 10

Hence, Clark can cut 10 pieces of wire from  7 and 1 over 2 feet of wire.

B.) The two fractions that were given in Part A was mixed fraction where the number which looks alone is the quotient of the division, while in the fraction, the remainder is denoted by the numerator and the divisor is denoted by the denominator.

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