Ratios/rates/Measure

Front

What is a ratio?

Back

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

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 120 customers visit in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

Front

What does it mean to have a unit rate of 6.50 per pizza?

Back

It means that for every pizza purchased, the cost is $6.50.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 1:22), as a fraction (e.g., 1/22), or in words (e.g., 1 to 22).

Front

If Taylor can write 25 words per minute, how many words can he write in 5 minutes?

Back

Taylor can write 25 words/minute × 5 minutes = 125 words.

Front

What is the ratio of boys to girls in a math team with 12 boys and 10 girls?

Back

The ratio of boys to girls is 12:10, which simplifies to 6:5.

Front

What is the purpose of calculating unit rates?

Back

Calculating unit rates helps to compare different quantities on a common basis, making it easier to understand costs, speeds, and other rates.

Front

If Hilbert burns 120 calories in 30 minutes, how many calories does he burn in 1 hour?

Back

Hilbert burns 120 calories in 30 minutes, so in 1 hour (60 minutes), he burns 240 calories.

Front

What is the unit rate of 97.50 for 15 pizzas?

Back

The unit rate is $97.50 ÷ 15 pizzas = $6.50 per pizza.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, place the first quantity as the numerator and the second quantity as the denominator. For example, the ratio 1:22 becomes 1/22.