Lesson 61: Remaining Fractions & Two-Step Equations

Remaining Fractions & Two-Step Equations

Remaining Fraction

• If we know the size of one portion of whole, then we can figure out the size of the other portion.

• Let's look at some examples.

Multiple Choice

The pizza was cut into eight equal slices. After Willis, Hunter, and Suelita each took a slice, What fraction of the pizza was left?

• 4/8

• 3/8

• 5/8

• 8/8

Example 2

The whole pizza was cut into equal parts. Since 3 of the 8 parts were taken, 5 of the 8 parts remained. The fraction that was left was  $\frac{5}{8}$ .

Multiple Choice

If two fifths of the crowd cheered. What fraction of the crowd did not cheer?

• 2/5

• 4/5

• 3/5

• 5/5

Example 3

We think of the crowd as though it were divided into 5 equal parts. We are told that 2 of the 5 parts cheered. So there were 3 parts that did not cheer. The fraction of the crowd that did not cheer was  $\frac{3}{5}$  .

Two-Step Equations

• Sometimes parts of an equation are written with a number right next to a letter

• For example: 2n. (What does this mean?)

Multiple Choice

What does it mean when you see 2n in a equation?

• $2+n$
  

• $2-n$

• 
  

  $2\ \div\ n$

• $2\times n$

Two Step Equations

•  $2n=7+5$  

• The 2n in this equation just means 2 x n

• How can we solve this equation?

• Well it takes 2 steps to solve.

• The first step is to add 7 and 5.

• This changes the equation to 2n = 12

• The second step is to find n.

Multiple Choice

 $2n\ =\ 12$  What does n equal? 

• n = 4

• n = 6

• n = 5

• n = 7

Let's look at an example together!

• Sometimes you may see a dot inbetween two numbers. The dot is another way to show multiplication.

• So to solve this equation we must solve the side that we already know

 $3m=4\cdot6$  

Multiple Choice

What fraction of this rectangle is shaded?

• 5/6

• 2/6

• 1/6

• 4/6

Multiple Choice

3/5 of the race was over. What fraction of the race was left?

• 3/5

• 2

• 1/5

• 2/5

Multiple Choice

 $2n=2+8$  

• n = 4

• n = 7

• n = 3

• n = 5

Multiple Choice

 $2\ +\ n\ =\ 2\ \cdot\ 8$  

• 8

• 14

• 16

• 12

Multiple Choice

The loaf of bread was sliced into 6 equal pieces After 1 piece was taken, what fraction of the loaf was left?

• 5/6

• 1/6

• 3/6

• 4/6

IXL Practice

Skill: P.9 Subtract fractions with like denominators using area models.

Code: P99

Skill: G.5 Solve variable equations.

Code: XWW

Skill: P.16 Add and Subtract fractions with like denominators: word problems