Exploring Adding and Subtracting Rational Expressions

This lesson covers solving problems involving fractions, decimals, and percents by converting them into a common format. It includes examples of operations like addition, subtraction, multiplication, and division, with a focus on simplifying results. The lesson also features application problems to demonstrate real-world uses of these mathematical concepts.

What is the first step in solving problems involving a mixture of fractions, decimals, and percents?

• Convert all numbers to the same format

• Convert all numbers to percents

• Convert all numbers to fractions

• Convert all numbers to decimals

How do you simplify the fraction 4/10?

• 2/10

• 4/5

• 1/2

• 2/5

What is the result of 2/3 times 2/5?

• 4/10

• 2/15

• 4/15

• 2/5

When subtracting decimals, what must align?

• The denominators

• The decimal points

• The whole numbers

• The numerators

What is 0.7 minus 0.25?

• 0.65

• 0.5

• 0.55

• 0.45

How do you convert 1/4 to a decimal?

• 0.5

• 0.1

• 0.25

• 0.75

If Nancy rode her bike for 15.8 miles on Saturday and 0.7 miles fewer on Sunday, how many miles did she ride on Sunday?

• 15.9 miles

• 15.1 miles

• 15.5 miles

• 15.7 miles

Ryan bought 4 and 2/3 pounds of apples at 75 cents per pound. How much did he pay?

• $4.25

• $4.00

• $3.75

• $3.50

Cameron is 48.6 inches tall and Kellen is 50.25 inches tall. How much taller is Kellen?

• 1.85 inches

• 1.75 inches

• 1.95 inches

• 1.65 inches

What is the total cost of an item priced at $43.50 with a 6% sales tax?

• $45.61

• $46.11

• $46.61

• $47.11