Presentation is loading. Please wait.

Presentation is loading. Please wait.

Adding and Subtracting with Unlike Denominators 3.5.

Similar presentations


Presentation on theme: "Adding and Subtracting with Unlike Denominators 3.5."— Presentation transcript:

1 Adding and Subtracting with Unlike Denominators 3.5

2 Add or subtract. 1 + – – – – Warm Up

3 Learn to add and subtract fractions with unlike denominators.

4 least common denominator (LCD) Vocabulary

5 A pattern for a double-circle skirt requires 9 yards of 45-inch-wide material. To add a ruffle takes another 2 yards. If the total amount of material for the skirt and ruffle are cut from a bolt of fabric 15 yards long, how much fabric is left?

6 To solve this problem, add and subtract rational numbers with unlike denominators. First find a common denominator using one of the following methods: Method 1 Find a common denominator by multiplying one denominator by the other denominator. Method 2 Find the least common denominator (LCD); the least common multiple of the denominators.

7 Find a common denominator: 8(7)= Multiply by fractions equal to 1. Rewrite with a common denominator. Simplify = A. Add or Subtract. Method 1: Example: Adding and Subtracting Fractions with Unlike Denominators

8 The least common multiple of two numbers is the smallest number other than zero that is a multiple of the two numbers. Remember! List the multiples of each denominator and find the LCD Write as an improper fraction. Multiples of 6: 6; 12; 24; 30 Multiples of 8: 8; 16; 24; 32 Rewrite with a common denominator = = 1 Multiply by fractions equal to 1. Simplify B. Add or Subtract. Method 2: Example: Adding and Subtracting Fractions with Unlike Denominators

9 Find a common denominator 3(8)= Multiply by fractions equal to 1. Rewrite with a common denominator Add or Subtract. Method 1: = A Try This

10 List the multiples of each denominator and find the LCD Write as an improper fraction. Multiples of 6: 6; 12; 24; 30 Multiples of 4: 4; 8; 12; 16 Rewrite with a common denominator. Multiply by fractions equal to 1. Simplify B = = Add or Subtract. Method 2: Try This

11 Evaluate t – for t = – – = Multiply by fractions equal to Substitute for n Rewrite with a common denominator: 6(5) = – Example: Evaluating Expressions with Rational Numbers

12 Evaluate – h for h =. Multiply by fractions equal to –7 12 Substitute for h. –7 12 Rewrite with lowest common denominator (36). –7 12 – = Simplify or –7 12 – Try This

13 Subtract both amounts from 36 to find the amount of ribbon left. Write as improper fractions. The LCD is – 12 – Rewrite with a common denominator. Simplify., or There will be 9 inches left –– –– Two dancers are making necklaces from ribbon for their costumes. They need pieces measuring 13 inches and 12 inches. How much ribbon will be left over after the pieces are cut from a 36-inch length? Example: Consumer Application

14 Subtract both amounts from 12 to find the amount of board left. Write as improper fractions. The LCD is – 6 – Rewrite with a common denominator. Simplify., or There will be inches left –– –– Fred and Jose are building a tree house. They need to cut a 6 foot piece of wood and a 4 foot piece of wood from a 12 foot board. How much of the board will be left? Try This

15 Add or subtract – – Evaluate – n for n = – Lesson Quiz: Part 1

16 Robert is 5 feet 6 inches tall. Judy is 5 feet 3 inches tall. How much taller is Robert than Judy? in Lesson Quiz: Part 2


Download ppt "Adding and Subtracting with Unlike Denominators 3.5."

Similar presentations


Ads by Google