1 / 10

Adding Fractions With Like Denominators

Adding Fractions With Like Denominators. John eats 2 pieces of pizza and his sister eats 3 pieces of the pizza. The fraction representing the pieces of pizza John ate is 2/8 The fractions representing the pieces of pizza John’s sister ate is 3/8 Together, they ate 5/8 of the pizza

kaori
Download Presentation

Adding Fractions With Like Denominators

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. Adding Fractions With Like Denominators

  2. John eats 2 pieces of pizza and his sister eats 3 pieces of the pizza. • The fraction representing the pieces of pizza John ate is 2/8 • The fractions representing the pieces of pizza John’s sister ate is 3/8 • Together, they ate 5/8 of the pizza • Because the fractions have the same denominator, the numerators can be added. • You can also show this operation using diagrams

  3. Steps to Adding Fractions With Like Denominators Pictorially • Step 1 • Draw a grid based on the factors of the denominator. • Step 2 • Colour the parts of the grid that are equivalent to each numerator • Step 3 • Add the total number of coloured parts

  4. Example: draw a diagram to solve 4/9 + 2/9 • STEP 1 • Draw a grid based on the factors of the denominator. The factors of the denominator are 1, 3, and 9. • Use 3 x 3 • STEP 2 • Colour the parts of the grid that are equivalent to each numerator. • The numerators are 4 and 2. • use a different colour for each numerator. • 4/9 + 2/9 = 2/3

  5. Example: draw a diagram to solve 4/9 + 2/9 • STEP 3 • Count the total number of coloured parts • You have 6 coloured squares in total • 4/9 + 2/9= 6/9 • Notice that 2 of the 3 columns are shaded. The fraction 6/9 can be reduced to 2/3 • 4/9 + 2/9 = 2/3

  6. Your Turn • Draw a diagram to solve 4/8 + 3/8 • 7/8

  7. Adding Fractions with Like Denominators Numerically • To add fractions with like denominators numerically, follow these steps • Step 1 • Add the numerators of the fractions while keeping the denominators the same • Step 2 • Reduce the resulting fraction to lowest terms by dividing the numerator and denominator by the greatest common factor (GCF) if required

  8. Example: 4/9 and 2/9 • Step 1 • Add the numerators of the fractions while keeping the denominators the same • + = = • Step 2 • Reduce the resulting fraction to lowest terms by dividing the numerator and denominator by the GCF • The GCF is 3

  9. Your Turn: • Add 2/6 and 1/6 • Step 1 • Step 2 • The GCF is 3

  10. Practice • Worksheet

More Related