Give two examples with solutions where you add mixed fractions and improper fractions, then briefly explain how you would teach a mathematics intermediate phase learner.

Question: Give two examples with solutions where you add mixed fractions and improper fractions, then briefly explain how you would teach a mathematics intermediate phase learner.

Here are two examples of adding mixed fractions and improper fractions, with solutions:

Example 1:

2 1/3 + 5/6

Solution:

First, convert the mixed fraction to an improper fraction:

2 1/3 = 7/3

Now, we have two improper fractions:

7/3 + 5/6

To add fractions with different denominators, we need to find a common denominator. The common denominator is the least common multiple of 3 and 6, which is 6.

To convert 7/3 to a fraction with a denominator of 6, we multiply the numerator and denominator by 2:

7/3 * 2/2 = 14/6

Now, we have:

14/6 + 5/6

Adding the numerators, we get:

19/6

Example 2:

5 1/5 + 3 1/4

Solution:

First, convert the mixed fractions to improper fractions:

5 1/5 = 26/5 3 1/4 = 13/4

Now, we have two improper fractions:

26/5 + 13/4

To add fractions with different denominators, we need to find a common denominator. The common denominator is the least common multiple of 5 and 4, which is 20.

To convert 26/5 to a fraction with a denominator of 20, we multiply the numerator and denominator by 4:

26/5 * 4/4 = 104/20

To convert 13/4 to a fraction with a denominator of 20, we multiply the numerator and denominator by 5:

13/4 * 5/5 = 65/20

Now, we have:

104/20 + 65/20

Adding the numerators, we get:

169/20

How to teach intermediate phase learners:

To teach intermediate phase learners how to add mixed fractions and improper fractions, you can use the following steps:

1. Start by explaining the concept of improper fractions. Explain that an improper fraction has a numerator that is greater than or equal to its denominator.
2. Show students how to convert mixed fractions to improper fractions. You can do this by using examples and by providing students with practice problems.
3. Explain the concept of adding fractions with different denominators. Explain that to add fractions with different denominators, you need to find a common denominator.
4. Show students how to find the least common multiple of two numbers. You can do this by using examples and by providing students with practice problems.
5. Show students how to add improper fractions. You can do this by using examples and by providing students with practice problems.

Here are some additional tips for teaching intermediate phase learners how to add mixed fractions and improper fractions:

• Use visual aids, such as diagrams and fraction strips, to help students understand the concepts.
• Break down the steps of adding mixed fractions and improper fractions into smaller steps.
• Provide students with plenty of practice problems.
• Be patient and supportive. Learning to add mixed fractions and improper fractions can be challenging for some students.

Rjwala

Rjwala is your freely Ai Social Learning Platform. here our team solve your academic problems daily.