1 / 9

Multiplying and Dividing Fractions

Multiplying and Dividing Fractions. Your Focus. GPS Standard: M6N1. Students will understand the meaning of the four arithmetic operations as related to positive rational numbers and will use these concepts to solve problems . e. Multiply and divide fractions and mixed numbers.

duer
Download Presentation

Multiplying and Dividing Fractions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Multiplying and DividingFractions

  2. Your Focus GPS Standard: M6N1. Students will understand the meaning of the four arithmetic operations as related to positive rational numbers and will use these concepts to solve problems. e. Multiply and divide fractions and mixed numbers. EU: Products may be larger, smaller, or equal to their factors. EQ: When does multiplying produce a product smaller than the factors? Vocabulary: fraction, numerator, denominator, product

  3. Why Multiply and Divide Fractions? • There are many reasons why we may need to multiply and divide fractions in real-life settings, such as: • To calculate a grade in a class • To calculate money while grocery shopping, running errands, etc. • To become better problem-solvers • To be able to get correct measurements while measuring things such as an area of a room • To ration portions of food equally among friends

  4. Of = Multiply • When we see the word “of” in a problem involving fractions, it means we need to multiply. Here is an example: • There are 8 cars in Michael’s toy collection. 1/2 of the cars are red. How many red cars does Michael have? • This problem is asking “What is 1/2 of 8?” • A way to answer it is to put a multiplication sign in place of “of.” You then get 1/2 x 8

  5. Multiplying Fractions • When multiplying fractions, they do NOT need to have a common denominator. • Option 1: 1. Multiply numerators 2. Multiply denominators 3. Simplify • Option 2: 1. Cross cancel 2. Multiply numerators 3. Multiply denominators 4. Simplify

  6. Multiplying Fractions by Whole Numbers Step 1: Make the whole number into a fraction with a denominator of 1. Step 2: Cross cancel or multiply across Step 3: Simplify

  7. Multiplying Fractions by Mixed Numbers Step 1: Change mixed numbers into improper fractions Step 2: Cross-Cancel or Multiply as before Step 3: Simplify

  8. Change Operation. Flip 2nd Fraction. Dividing Fractions • When dividing fractions, they do NOT need to have a common denominator. • To divide two fractions, change the operation to multiply and take the reciprocal of the second fraction (flip the second fraction). Keep-Change-Change.

  9. Dividing Fractions • Finish the problem by following the rules for multiplying fractions.

More Related