Math Concepts: Fractions and Percentages

Choose a study mode

Play Quiz

Study Flashcards

Spaced Repetition

Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

How many rooms can Andrew paint if he uses \frac{3}{4} gallon on each room?

6\frac{3}{4} rooms (correct)
5 \frac{1}{4} rooms
12 rooms
7 rooms

How long did it take Jason to drive to the beach, if it took Mary 1 \frac{5}{6} hours?

5 \frac{1}{6} hours (correct)
3 \frac{5}{6} hours
1 \frac{5}{12} hours
4 \frac{1}{2} hours

What is 0.15 written as a fraction in simplest form?

3/10
3/20 (correct)
15/100
1/5

What is the unit rate for 28 miles in 7 days?

<p>4 miles per day (C)</p> Signup and view all the answers

Flashcards

Dividing by a Fraction

Dividing by a fraction is the same as multiplying by its reciprocal. To find the reciprocal of a fraction, flip the numerator and the denominator.

Dividing Mixed Numbers

To find the number of rooms Andrew can paint, divide the total amount of paint by the amount of paint needed per room. This will give you the number of rooms he can paint.

Multiplying Mixed Numbers

To find the total time Jason took, multiply Mary's driving time by 3. This will give you Jason's driving time.

Fraction to Percent

To convert a fraction to a percent, divide the numerator by the denominator and then multiply by 100%.

Signup and view all the flashcards

Percent to Decimal

To convert a percent to a decimal, move the decimal point two places to the left. If the percent has no decimal point, assume it's after the number.

Signup and view all the flashcards

Study Notes

Division of Fractions

Divide 9 by 3/5 to get 15

Painting Rooms

Andrew has 5 1/4 gallons of paint
He uses 3/4 gallon per room
He can paint 7 rooms

Driving Time

Mary took 6 2/3 hours to drive to the beach
Jason took triple the time
Jason took 20 hours to drive to the beach

Fraction to Percent

2/5 written as a percentage is 40%

Percent to Decimal

6% written as a decimal is 0.06

Decimal to Fraction

0.15 written as a fraction in simplest form is 3/20

Percent to Fraction

125% written as a fraction in simplest form is 5/4

Unit Rate

28 miles in 7 days is equal to 4 miles per day

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Description

This quiz covers essential concepts related to fractions, percentages, and their conversions. You will learn how to divide fractions, convert between different numerical formats, and calculate unit rates. Test your understanding of these mathematical principles with this comprehensive quiz.