Solving Equations Involving Fractions and Decimals

This video tutorial covers solving equations that involve fractions and decimals. It begins with converting fractions to decimals by dividing the numerator by the denominator. The tutorial emphasizes the importance of handling repeating decimals correctly by filling the calculator screen with repeating digits. It also covers solving two-step equations, combining like terms, and using the distributive property. The video provides practice problems and highlights common pitfalls, such as rounding errors in repeating decimals.

What is the decimal equivalent of the fraction 4/5?

• 0.75

• 0.8

• 0.9

• 0.85

When converting a fraction to a decimal, what operation do you perform?

• Add the top number to the bottom number

• Divide the top number by the bottom number

• Multiply the top number by the bottom number

• Subtract the bottom number from the top number

What should you do if the calculator rounds the last digit of a repeating decimal?

• Subtract 1 from the last digit

• Add 1 to the last digit

• Ignore the last digit

• Use the rounded digit

What is the correct way to type a repeating decimal into a calculator?

• Type only one digit

• Type two digits

• Fill the screen with the repeating digit

• Type three digits

How do you solve the equation 0.8x + 1 = 12?

• Add 1 to both sides, then divide by 0.8

• Subtract 1 from both sides, then divide by 0.8

• Multiply both sides by 0.8, then subtract 1

• Divide both sides by 0.8, then add 1

What is the result of 28 divided by 0.66666?

• 42

• 46.6

• 40

• 44.4

How do you combine like terms in the equation 2n + (-0.8n) + 3.4 = 10?

• 2.8n - 3.4 = 10

• 1.2n - 3.4 = 10

• 1.2n + 3.4 = 10

• 2.8n + 3.4 = 10

What is the first step in solving the equation 5.6x - 3.25x + 16.7 = 28.7?

• Add 3.25x to both sides

• Subtract 3.25x from both sides

• Add 16.7 to both sides

• Subtract 16.7 from both sides

What should you do if the directions do not specify rounding for a long decimal answer?

• Ignore the decimal part

• Round to two decimal places

• Write out the entire decimal

• Round to the nearest whole number

How do you solve the equation 0.4x = -1.25?

• Divide both sides by 0.4

• Add 0.4 to both sides

• Multiply both sides by 0.4

• Subtract 0.4 from both sides