Chapter 5 Fraction Operations

By: Ashley and Taylor MP.3

Math Project Review

Vocabulary

Greatest Common Factor: The largest integers that divides without remainders into a set of integers.

Equivalent Fractions: Fractions which have the same value even though they may look different.

Simplest Form: Reduced down as far as it will go. Least Common Denominator: The lowest common denominator

or LCD is the LCM of the denominators. Mixed Number: A number consisting of an integer and a proper

fraction. Improper Fraction: A fraction in which the numerator is greater

than the denominator. Reciprocal: A fraction multiplied by it’s opposite. U.S. Customary System: The units of measurement for length. ( 3/2, 2/3 ) Capacity: A measurement of how much a container will hold.

Adding Fractions Lesson 5.1

Examples of Adding FractionsExample 1: 2/8 + 5/8 = 2+5/8 = 7/8Example 2: 2/9 + 6/9 = 2+5/9 = 7/9

Rules:When adding fractions make sure you always have the same denominator. Also, make sure that when

you are done solving the problem you reduce.

Subtracting Fractions Lesson 5.1

Examples of Subtracting Fractions

Example 1: 7/8 - 3/8 = 7-3/8 = 4/8 = ½Example 2: 5/7 – 2/7 = 3/7

Rules:When subtracting fractions make sure you always have the same denominator. Also,

make sure that when you are done solving the problem that you reduce.

Adding Mixed Numbers Lesson 5.2 Examples of adding mixed numbers

Example 1: 7 1/3 + 11 1/3 = 18 2/3Example 2: 8 2/6 + 6 4/6 = 14 6/6 = 15

Rules: When you add mixed numbers make sure that your

denominator is the same then you can add the fractions. When you are done, make sure you reduce as far as

possible. If you have an improper fraction then add the whole number to the numerator. If it goes over the

denominator amount round to the next whole number.

Subtracting Mixed Numbers Lesson 5.2

Examples of Subtracting Mixed numbers

Example 1: 5 7/6 – 4 7/6 = 1Example 2: 6 1/6 – 3 2/3 = 6 1/6- 3 4/6 = 5 7/6 – 3 4/6 = 2 3/6 = 2 ½

Rules: When subtracting mixed numbers, make sure you always have the same denominator. If you run into

not being able to subtract, subtract a whole number then add that to your fraction. Also, when

you are done reduce the fraction as far as it will go.

Multiplying FractionsLesson 5.3

Examples of Multiplying Fractions and Mixed numbers

Example 1: 1/3 x ½ = 1x1/ 3x2 = 1/6Example 2: ½ x 2/4 = 1x2/ 2x4 = 2/8 = ¼

Rules:When you are multiplying fractions you Do Not

have to have the same denominator. All you have to do is multiply across. Make sure when you are done

you reduce down as far as it will go.

Multiplying Mixed NumbersLesson 5.3Examples of Multiplying Mixed Numbers

Example 1: 5 ¼ x 4 2/3 = 21/4 x 14/3 = 24 ½ Example 2: 2 ½ x 2 ¼ = 5/2 x 9/4 = 45/8 = 5 5/8

Rules:While multiplying mixed numbers, make sure that you Do

Not have a whole number, take the denominator and multiply the whole number by the denominator. Then

multiply the improper fraction. Then at the end, reduce your number as far as it will go.

Dividing Fractions Lesson 5.4

Examples of Dividing Fractions

Example 1: 5/9 ÷ 2/3 = 5/9 x 3/2 = 5/6Example 2: ½ ÷ ¼ = ½ x 4/1 =4/2 = 2

Rules:When you are dividing fractions make sure you

Skip the first fraction, Change the division sign to a multiplication sign, Flip the last fraction. At the

end, make sure you reduce the fraction till as far as it will go.

Dividing Mixed Numbers Lesson 5.4Examples of Dividing mixed Numbers

Example 1: 8 3/4 ÷ 2 5/8 = 35/4 ÷ 21/8 = 35/4 x 8/21 = 5/1 x 2/3 = 10/3 = 3 1/3Example 2: 21 ÷ 3 ½ = 21 ÷ 7/2 = 21/1 x 2/7 = 3/1 x 2/1 = 6

Rules:When Dividing Mixed Numbers, multiply the

denominator to the whole number. Then, Skip the first improper fraction, Change the division sign to a multiplication sign, Flip the last improper fraction,

and then multiply. Make sure you reduce as far as it will go down.

Measuring in Customary UnitsLesson 5.5

Examples of Measuring in Customary Units

Rules: The rules for measuring in customary units are

looking for the different lines when using a ruler and round the measurement to the nearest customary

unit.

Converting Customary Units Lesson 5.6

Examples of Converting Customary Units

Example 1: 63 ft. x 1/3 ft. = 21 ft. x I yd./3 = 21

Rules:

Some Rules for converting customary units:Simplify the problem where you can. This means reduce if possible. Write whole numbers over 1 to make them into

fractions. For metric conversions, remember that you are using a base of ten so all you have to do is move your decimal.

How Fraction Operations are Used in real lifeLesson 5

How Fractions are used in real life Cooking Measurements, to measure ingredients. Building Architecture, to measure the wood. Restaurants, to measure portions. Sports have half time, to give the players a rest. Sewing, to figure out the amount of material

needed. Experiments in science, to give precise measures. Scrap booking, measure sizes of the mattes. Sales, to reduce the price down. Paint Measurements, how much paint is needed. Using serving size while you are eating, diet control.

Examples of Fraction Operations through Writing