Unit Rates & Complex Fractions
Flashcard
•
Mathematics
•
7th Grade
•
Hard
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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?
Back
To calculate a unit rate, divide the quantity of one item by the quantity of another item. For example, if there are 120 customers in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.
3.
FLASHCARD QUESTION
Front
What is a complex fraction?
Back
A complex fraction is a fraction where the numerator, the denominator, or both are also fractions. For example, (1/2)/(3/4) is a complex fraction.
4.
FLASHCARD QUESTION
Front
How do you simplify a complex fraction?
Back
To simplify a complex fraction, multiply the numerator and the denominator by the least common denominator (LCD) of the fractions involved, then simplify.
5.
FLASHCARD QUESTION
Front
If a snail moves 3/10 of a meter every 1/12 hour, how do you find its speed in meters per hour?
Back
To find the speed, divide the distance by the time: (3/10) ÷ (1/12) = (3/10) * (12/1) = 36/10 = 3.6 meters per hour.
6.
FLASHCARD QUESTION
Front
What is the formula for finding the total cost when given a price per unit?
Back
Total Cost = Price per Unit × Number of Units. For example, if hamburger costs $6 for 3 pounds, the cost for 10 pounds is (10/3) × 6 = $20.
7.
FLASHCARD QUESTION
Front
What does it mean to simplify a fraction?
Back
To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.
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