Fractions and Decimals

Lesson Objective:

Students will be able to add, subtract, multiply, and divide fractions and decimals.

Student-Facing Learning Target:

I can add, subtract, and multiply fractions and decimals.

Vocabulary:

1.) [b]Fraction:[/b] part of a whole or a set[br]2.) [b] Numerator:[/b] the top part of the fraction; the number of pieces being counted[br]3.) [b]Denominator:[/b] the bottom part of the fraction; the total number of pieces of the whole or the set[br]4.) [b]Common Denominator:[/b] the denominator needed to add and subtract fractions together

Part One: Comparing Fractions and Decimals

When converting fractions to decimals, you divide the denominator by the numerator. [br] Example: 11/100 = 100 divided by 11 = 0.11[br][br][br]When converting decimals to fractions, you put the number after the decimal in the numerator and then which decimal place in the denominator [br] Example: 0.11 = 11/100

Exercise 1:

Use <, >, or = to compare the following

1. 0.8 ___________ 0.45

2. 4/6 _____________ 2/3

3. 1/2 ______________ 0.75

Part Two: Fraction Word Problems

1. Kim rode her bike for one-fifth of a mile on Monday and two-fifths of a mile on Tuesday. [br] a.)How many miles did she ride altogether?

b.)On Wednesday, she rode on half of a mile. If she does that every day for 4 day, how far did she ride her bike?

2. Jake needs to walk 7/10 kilometers to school. He has already walked 3/10 kilometer. [br] a.) How much further does Jake need to walk?

b.) After school, Jake had to stop by the bookstore. The bookstore is one-fifth of a kilometer from school. What is the total distance Jake will walk after going to school and then the bookstore?

3. There was 5/8 of a pie left in the fridge. Daniel at 1/4 of the leftover pie. How much pie is left over?

Part Three: Decimals Word Problems

When adding/ subtracting decimals, you line up the decimal points and add zeros to any missing spots [b]AFTER[/b] the decimal point.[br][br]When multiplying decimals, you line up the numbers against "the wall" and multiply like usual; then count how many total decimal places are there in the two numbers.

1. Brenda and Jenna together saved $12.75 last week and $8 this week to buy a gift for Mother's Day/[br] a.) The gift they want to buy costs $17.50. Do the sisters have enough money for the gift?

b.) If the sisters want to split the cost of the gift, how much should each pay?

c.) Brenda also wants to buy 5 chocolate bars for their mom. Each chocolate bar cost $0.95. How much total money does she need for the chocolate?

2. Becca is biking across the country over her summer break.[br] a.) She biked 47.5 miles everyday Monday through Friday. How far did she bike?

b.) She biked 12 miles on Saturday and 9 miles on Sunday. What is the total distance Becca biked this whole week?