Кольоровий логотип House of Math
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6th grade Q1

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How do you solve problems involving multiplication with addition of fractions using appropriate problem solving strategies?

To solve problems that involve multiplication and addition of fractions, you need to follow a step-by-step process.

 

Let's say we want to solve this problem:

Remember to follow the order of operations: Multiply first, then add. Now let's go to step 1.

 

Step 1: Multiply the fractions

When multiplying fractions, you multiply the numerators together and the denominators together. There is no need for a common denominator when multiplying.

Step 2: Find a common denominator for addition

Now add ​. To do that, you need a common denominator.

The least common denominator of 8 and 3 is 24. So convert both fractions to have this denominator.

For , multiply both the numerator and denominator by 3 to make the denominator 24:

For , multiply both the numerator and denominator by 8 to get 24:

Now, the fractions are ready to be added.

 

Step 3: Add the fractions

Final Answer:

 The fraction can't be simplified so you're done.