Complex Fractions and Unit Rate

Front

What is a complex fraction?

Back

A complex fraction is a fraction where the numerator, the denominator, or both are also fractions.

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.

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.

Front

How do you find the unit rate from a total cost and quantity?

Back

To find the unit rate, divide the total cost by the quantity.

Front

If a dog eats 1/3 of a bag of food in 1/2 week, how do you calculate how much it eats in 1 week?

Back

Multiply the amount eaten in 1/2 week by 2 to find the amount eaten in 1 week.

Front

What is the formula to calculate the rate of work done?

Back

Rate of work = Total work done / Time taken.

Front

How do you convert a fraction to a unit rate?

Back

Divide the numerator by the denominator to express the fraction as a decimal or a whole number.

Front

What is the significance of finding unit rates in real-life applications?

Back

Finding unit rates helps compare prices, speeds, and efficiencies, making it easier to make informed decisions.

Front

How do you determine the number of acres mowed per hour if given a fraction of an acre mowed in a fraction of an hour?

Back

Divide the fraction of acres mowed by the fraction of hours taken, or multiply by the reciprocal of the time fraction.

Front

What is the relationship between complex fractions and unit rates?

Back

Complex fractions can often be simplified to find unit rates, as they both involve ratios of quantities.