Rates & Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does the word 'to' signify in a ratio?

Back

The word 'to' is used to express the relationship between two quantities in a ratio, indicating how many parts of one quantity there are for every part of another.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate the rate when given distance and time?

Back

Rate = Distance ÷ Time. For example, if a person travels 182.4 miles in 3 hours, the rate is 182.4 ÷ 3 = 60.8 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula to find the price per unit?

Back

Price per unit = Total Price ÷ Number of Units. For example, if 6 gallons of gasoline cost $15.00, the price per gallon is $15.00 ÷ 6 = $2.50.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the average rate of work done?

Back

Average rate of work = Total Work ÷ Total Time. For example, if Lynnette washes 95 cars in 5 days, she washes 95 ÷ 5 = 19 cars per day.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If Jack jumps 40 times in 4 minutes, how do you find his jumps per minute?

Back

To find jumps per minute, divide the total jumps by the total time in minutes. So, 40 jumps ÷ 4 minutes = 10 jumps per minute.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, like miles per hour or price per item.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you convert a ratio into a fraction?

Back

To convert a ratio into a fraction, write the first quantity as the numerator and the second quantity as the denominator. For example, a ratio of 3:4 can be written as 3/4.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two different units, such as speed (miles per hour) or price (dollars per item).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both quantities by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified to 2:3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2