1.6 Division with Mixed Numbers

Question 1

Proper fraction:

Answer 1

A fraction that describes an amount less than one whole, where the numerator is less than the denominator.

Question 2

Improper fraction:

Answer 2

A fraction that describes an amount greater than or equal to one whole, where the numerator is greater than or equal to the denominator.

Question 3

Mixed number:

Answer 3

The sum of a whole number and fraction; a mixed number has a whole number part and a fraction part.

Question 4

Steps for converting a mixed number to an improper fraction:

Answer 4

[1] Multiply the denominator by the whole-number part.
[2] Add that product to the numerator of the fraction part of the mixed number.
[3] The sum is the numerator of the improper fraction.
[4] The denominator of the mixed number is the denominator of the improper fraction.

Question 5

Steps for converting an improper fraction to a mixed number:

Answer 5

[1] Divide the numerator by the denominator. You will get a whole-number quotient and a remainder.
[2] The whole-number quotient is the whole-number part of the mixed number.
[3] The remainder is the numerator of the fraction part of the mixed number.
[4] The denominator of the improper fraction is the denominator of the mixed number.

Question 6

Problem Solving

Two things can happen:

Answer 6

[1] You would get a word problem and have to solve using the numbers given.
[2] You would get the numbers and have to create a scenario for it.

Always make sure you determine which number represents the dividend and which one represents the divisor.