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 when they are combined together, expressed as a quantity per one unit of another quantity.

Front

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

Back

Divide the total cost by the total weight to find the cost per unit weight.

Front

If a recipe requires 2/3 cup of an ingredient for 1/3 of a batch, how do you find the amount needed for a full batch?

Back

Multiply the amount of the ingredient by the reciprocal of the fraction of the batch.

Front

What is the formula to calculate the unit rate in dollars per pound?

Back

Unit Rate = Total Cost / Total Weight.

Front

How do you convert a complex fraction to a simple fraction?

Back

By simplifying the numerator and denominator separately and then dividing.

Front

What is the relationship between unit rates and ratios?

Back

Unit rates are a specific type of ratio that compares a quantity to one unit of another quantity.

Front

How can you express a unit rate in different forms?

Back

Unit rates can be expressed as fractions, decimals, or percentages.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common factor.