Question

Communication is considered an important component of mathematics education in order for deep learning to occur.


1. Choose a specific algebra concept (SeeM2.Fractions and Mixed Numbers or M4.Intro to Algebra in MFL) that you think you understand well, and explain it in your own words.

2. Then, present a math problem for your classmates to solve, making use of this concept (the one you selected). Remember to make your initial post prior to the close of Wednesday of each week.

Answer 1

Let's consider the following topic:

Converting an improper fractions to a mixed number.

An improper fraction is a fraction whose numerator is greater than the denominator. For example 13/4. The concept of mixed number doesn't arise for a proper fraction. This is because a proper fraction is always less than one. For example 4/5. Since it is less than one, it doesn't have a whole part, so no mixed number can be written for it.

In case of improper fraction however, as the numerator is greater than the denominator, for example 13/4, when the numerator is divided by the denominator it produces a whole number and a fractional part, for example 13 divided by 4 produces 3 as quotient and 1 as remainder (or 1/4 as a fraction). Because it contains a whole and a fractional part, it is called a mixed number.

To convert an improper fraction as a mixed number follow the steps below:

1 - Divide the numerator by the denominator.

2- Write the quotient as the whole part and write the remainder over the divisor as the fractional part.

For example, in case of

The quotient, when 13 is divided by 4, is 3 and the remainder is 1.

So, the mixed number is

2. Problem to solve:

   Conver the following improper fractions into a mixed number: