Proportions with Complex Fractions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find a missing value in a proportion?

Back

Cross-multiply the ratios and solve for the missing value.

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 can you simplify a complex fraction?

Back

Multiply the numerator and denominator by the least common denominator (LCD) of the fractions.

Front

If Anthony rode ¼ mile in 1/12 minutes, how far can he ride in 1 minute?

Back

3 miles.

Front

If Sariyah knitted 1/4 of a sweater in ½ of a month, how long will it take her to knit a whole sweater?

Back

2 months.

Front

If William fills 1/10 of a water bottle in 1/5 of a minute, how much time will it take him to fill the bottle?

Back

2 minutes.

Front

What is the formula to find the unit rate?

Back

Unit rate = (quantity)/(time) or (distance)/(time).

Front

How do you determine if two ratios form a proportion?

Back

If the cross products of the ratios are equal, then they form a proportion.

Front

Ramon travels 20 miles in 20 minutes. How many miles can he travel in 120 minutes?

Back

120 miles.