Ratios and Proportions Part 1

Check all complex fractions that have a quotient greater than 1.

• $\frac{4}{\frac{1}{3}}$

• $\frac{\frac{2}{3}}{\frac{1}{5}}$

• $\frac{\frac{3}{5}}{\frac{1}{4}}$

• $\frac{\frac{1}{7}}{\frac{1}{2}}$

• $\frac{\frac{1}{2}}{\frac{7}{8}}$

Two people are walking along a trail. Person A travels 2/3 of a mile in 1/4 hour. Person B travels 3/4 of a mile in 2/5 hour. Which person is traveling at a faster rate and what is their rate of speed?

• Person A is traveling faster and is traveling at 3/8 miles per hour.

• Person A is traveling faster and is traveling at 2 2/3 miles per hour.

• Person B is traveling faster and is traveling at 8/15 miles per hour.

• Person B is traveling faster and is traveling at 1 7/8 miles per hour.

A sewing machine can sew 3/4 of a shirt in 1/9 of an hour. How many shirts can the machine sew per hour?

• 1/12 shirts per hour

• 6 3/4 shirts per hour

• 12 shirts per hour

• 4/27 shirts per hour

Select all proportions that have a solution of 4.

•  $\frac{4}{5}=\frac{x}{20}$  

•  $\frac{2}{3}=\frac{4}{x}$  

•  $\frac{1}{3}=\frac{x}{12}$  

•  $\frac{3}{4}=\frac{5}{x}$  

Marissa ran 11 miles in 2 hours. At this rate, how far can she run in 5 hours?

• 27 1/2 miles

• 10/11 miles

• 4 2/5 miles

• 22 miles

At the grocery store, Brand A of dog food costs $9 for 2 1/2 pounds and Brand B costs $13 for 3 pounds. Which brand is the better buy?

• Brand A

• Brand B

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

• $8 per pound
• $5 per pound
• $35 per pound
• 0.125 pounds per dollar

Tags

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

• $50 per hour
• $12 per hour
• $192 per hour
• $25 per hour

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Which is the better buy?

• A 4 pack of t-shirts for $2.24
• A 6-pack of t-shirts for $3.12
• An 8 pack of t-shirts for $4.24

Tags

CCSS.6.NS.B.3

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Cheerios $3.68 for 17 oz.
or
Apple Jacks $2.89 for 13 oz.
Find the unit price of each and choose the better deal.

• Cheerios
• Apple Jacks

Tags

CCSS.6.RP.A.3B