Over Lesson 5–5

A. A

B. B

C. C

D. D

Solve 6x = 2x – 24. Check your solution.

Solve 10 –14 + 4x. Then graph the solution on a number line.

You have already learned operations with fractions. (Lessons 3–3 and 3–4)

• Write ratios as fractions in simplest form.

• Know what ratios actually tell us.

• ratio A comparison of two numbers by division. The ratio of 2 to 4 can be stated as 2 out of 4, 2 to 4, 2:4, and . (These quantities that are compared usually have labels that are similar)

Write Ratios in Simplest Form

Express the ratio 10 roses out of 12 flowers as a fraction in simplest form. Explain its meaning.

Divide the numerator and denominator by the GCF, 2.

÷2

÷2

The ratio of roses to flowers is 5 to 6.

A. A

B. B

C. C

D. D

Express the ratio 8 golden retrievers out of 12 dogs as a fraction in simplest form.

A.

B.

C.

D.

Write Ratios As Fractions

SHOPPING A store found that 25 out of 35 people shopping there were women. Express this ratio as a fraction in simplest form. Explain its meaning.

÷5

÷5

Divide the numerator and the denominator by the GCF, 5.

A. A

B. B

C. C

D. D

Twelve out of 18 joggers are male. Write this ratio as a fraction in simplest form.

A.

B.

C.

D.

Write Ratios As Fractions and explain their meaning

At the recent Winter Classic, there were approximately 46,000 fans at the game. If 32,000 of them were Flyers fans, what is the ratio of Flyers fans to Rangers fans, in simplest terms? What does that ratio mean?

46000 – 32000 = 14000 fans Find the number of Rangers fans

Express the two quantities as a ratio (Flyers to Rangers).

Simplify the ratio by dividing

Express the simplified ratio

It means for every 16 Flyers fans you saw at the game, there were 7 Rangers fans at the game.

A. A

B. B

C. C

D. D

Express the ratio 48 red balloons to 18 green balloons as a fraction in simplest form.

A.

B.

C.

D.