Unit Rates & Complex Fractions

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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.

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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.

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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.

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.

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.

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.

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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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What is the relationship between unit rates and ratios?

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Unit rates are a specific type of ratio that compares a quantity to one unit of another quantity, making it easier to understand and compare different rates.

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How can you convert a complex fraction into a simple fraction?

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To convert a complex fraction into a simple fraction, you can multiply the numerator by the reciprocal of the denominator.

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What is the unit rate of 120 customers in 8 hours?

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The unit rate is 15 customers per hour, calculated by dividing 120 by 8.