Math HomeworkStudy for Unit Test!!

Individuals: Homework out from Thursday – pg. 161

Monday, March 16th

Homework Check

Fraction Review• A fraction is always a fraction of something –

for example, ½ of an banana or ⅗ of a pencil. This “something” is called a whole.

• The parts into which the whole is divided must be the same size – they must be “fair shares.”

Fraction Review• The number below the fraction bar is called the

denominator. It names the number of equal parts into which the whole is divided.

• The number above the fraction bar is called the numerator. It names the number of parts under consideration.

– For example, if Barney ate ⅔ of a sandwich, the sandwich is the “whole.” The fraction ⅔ tells us that the sandwich was divided into 3 equal parts, and Barney ate two of the three pieces.

• Numbers such as 45 ½ and 11 ⅗ are called mixed numbers.

Fraction Review

• Decomposing fractions – writing fractions and mixed numbers as sums.• Example: ⅘ can be decomposed into the sum of

⅕ + ⅗ or the sum of ⅖ + ⅖.

Fractional Parts of a Whole

There are 35 pencils that make a “whole.” Draw a picture and figure out a way to divide the

pencils into fifths.

How many pencils make up ⅕?

Circle ⅘ of the pencils.

1 whole = 35 pencils⅕ = 7 pencils ⅘ = 28 pencils

Fractional Parts on a Number Line

0 1 2

Draw the number line below and fill in the fractional parts…

⅞ 1 ⅜

Probability1 out of 6

3 out of 6

3 out of 7

5 out of 6

Adding Fractions

There are 2 simple steps to add fractions:• Step 1: Make sure the denominators are the

same.• Step 2: Add the numerators, put the answer over

the denominator.

Adding Fractions with Like Denominators

⅕ + ⅖ = ___Are the denominators the same?

Then add the numerators.What’s the answer?

⅗

Adding Mixed Numbers with Like Denominators

1 ⅜ + 7 ⅛ + ⅛ = ___Are the denominators the same?

Add the fractions, then add the whole numbers.What’s the answer?

8 ⅝

Adding Fractions with Unlike Denominators

Step 1: The bottom numbers are different. See how the slices are different sizes?

We need to make them the same before we can continue, because we can’t add them like that.

We have to find the LCD Least Common Denominator

Whatever you do to the bottom of the fraction, you must to do the top!!!

LCD = 6

• ⅙ already has a denominator of 6, so we’ll leave it alone.

• In order for ⅓ to have a like denominator, we have to multiply the fraction by 2.

Practice

2 53 9+

4 36 12+

3 14 2+

=

=

=

3 24 7+

5 19 7+

3 410 15+

=

=

=

Review

Equivalent Fraction Rule: if the numerator and the denominator of a fraction are multiplied by the same non-zero number, the result is a fraction that is equivalent to the original fraction.

Example: 3 155 25x = _ 5

Find 5 Equivalent Fractions for Each

25 =

37 =

89 =

Covert Fractions to Decimals

Write the following fractions as decimals:

4 5

34100

210

87100

1,000s 100s 10s 1s 0.1s 0.01s 0.001s

Thousands Hundreds Tens Ones . Tenths Hundredths Thousandths

0.8 0.34 0.2 0.87

Practice

Complete all Unit 7 journal pages. You will not be able to complete pages 214-215

because it is an experiment, so skip it.

Time : End of ClassVoice Level: 0