1 / 14

Multiplication of Fractions with Mixed Numbers

Multiplication of Fractions with Mixed Numbers. Times You Would Multiply a Mixed Number Times a Fraction. In a car race, the track is 2 ¼ miles long. If the car breaks down ½ way through the course, how far did you go? 1/2 of 2 1/4 or 1/2 x 2 1/4.

rsaunders
Download Presentation

Multiplication of Fractions with Mixed Numbers

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. Multiplication of Fractionswith Mixed Numbers

  2. Times You Would Multiply a Mixed Number Times a Fraction • In a car race, the track is 2 ¼ miles long. If the car breaks down ½ way through the course, how far did you go? 1/2 of 2 1/4 or 1/2 x 2 1/4

  3. Multiplying FractionsConceptual Understanding • When you multiply a positive mixed number by a fraction between 0 and 1 the product is less than the mixed number. 1¼ x ½ = 5/8 Look at the diagram on the next slide to understand why.

  4. Multiplying FractionsConceptual Understanding 1¼ x ½ = 5/8 ¼ ¼ ¼ ¼ 1/8 1/8 1/8 1/8 ¼ ¼ ¼ ¼ 1/8

  5. How to Find a Fraction of a Mixed Number • The first thing to remember is “of” means multiply in mathematics. of x =

  6. How to Find a Fraction of a Mixed Number • Step 1 - When you see a fraction problem you know when you read “of” in the problem you multiply. 1 4 x of 3 2 9

  7. How to Find a Fraction of a Mixed Number • Step 2 – Change the mixed number to an improper fraction. 27 + 4 1 4 31 + x 3 2 9 9 x 27

  8. How to Find a Fraction of a Mixed Number • Step 3 – Multiply the numerators straight across. 1 31 31 x = 2 9

  9. How to Find a Fraction of a Mixed Number • Step 4 – Multiply the denominators straight across. 1 31 31 x = 2 9 18

  10. How to Find a Fraction of a Mixed Number • Step 5 – Simplify your answer. In this case change the improper fraction to a mixed number. 13 1 18 1 31 31 18) 31 x = 2 9 18 18 13

  11. Multiply and Simplify 35 + 4 4 39 39 1 + x 5 = 4 7 7 28 x 35 11 1 28 28) 39

  12. Multiply and Simplify 27 + 1 1 28 112 4 + x 3 = 7 9 9 63 x 27 1 49 7 7 ÷ = 63 7 9 63) ÷ 112

  13. Multiply and Simplify 24 + 3 3 27 108 4 + x 6 = 4 4 20 5 x 24 8 4 2 5 ÷ = 20 4 5 ÷ 20) 108

  14. You’re shining! Multiply and Simplify 24 + 1 1 25 50 2 + x 6 = 4 4 20 5 x 24 2 10 10 1 ÷ = 20 10 2 20) ÷ 50

More Related