A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number). For example, $$\frac{3}{4}$$ means 3 parts out of 4 equal parts.

What does it mean to simplify a fraction?

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1. For example, $$\frac{4}{8}$$ simplifies to $$\frac{1}{2}$$ .

What is a mixed number?

A mixed number is a whole number combined with a fraction. For example, $$2\frac{1}{2}$$ represents 2 whole parts and 1/2 of another part.

How do you convert a mixed number to an improper fraction?

To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, $$2\frac{1}{2}$$ becomes $$\frac{(2 \times 2) + 1}{2} = \frac{5}{2}$$ .

What is the importance of unit rates in real life?

Unit rates help compare different quantities in real-life situations, such as speed, cost, and efficiency, making it easier to make informed decisions.

How do you find the total amount from a unit rate?

To find the total amount from a unit rate, multiply the unit rate by the number of units. For example, if the unit rate is 60 miles per hour and you travel for 2 hours, the total distance is $$60 \times 2 = 120$$ miles.

What is the difference between a proper fraction and an improper fraction?

A proper fraction has a numerator smaller than the denominator (e.g., $$\frac{3}{4}$$ ), while an improper fraction has a numerator larger than or equal to the denominator (e.g., $$\frac{5}{4}$$ ).

How do you find the total gallons needed if you know the rate?

If you know the rate of gallons used per area, you can find the total gallons needed by multiplying the rate by the total area. For example, if 1.5 gallons cover 3/4 of a room, for a full room, you would calculate accordingly.

What is the significance of ratios in unit rates?

Ratios are significant in unit rates as they provide a way to compare two quantities directly, allowing for easier understanding of relationships, such as speed or cost per item.

Unit Rates with Fractions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

2.

FLASHCARD QUESTION

Front

How do you calculate a unit rate with fractions?

Back

3.

FLASHCARD QUESTION

Front

What is the formula for finding average yearly snowfall?

Back

4.

FLASHCARD QUESTION

Front

How do you find miles per gallon?

Back

5.

FLASHCARD QUESTION

Front

What is the relationship between gallons of paint used and area painted?

Back

6.

FLASHCARD QUESTION

Front

How do you calculate cost per item?

Back

7.

FLASHCARD QUESTION

Front

What is a fraction?

Back

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