Ratios, Rates, and Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction (e.g., 4/3), with a colon (e.g., 4:3), or in words (e.g., 4 red apples to 3 green apples).

Front

What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

The ratio of red apples to green apples is 4:3.

Front

If a bag contains 3 blue marbles, 2 red marbles, and 5 yellow marbles, what is the ratio of red marbles to yellow marbles?

Back

The ratio of red marbles to yellow marbles is 2:5.

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' (e.g., miles per hour).

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you have 60 miles in 2 hours, the unit rate is 60 miles ÷ 2 hours = 30 miles per hour.

Front

What is the ratio of votes for yellow to green if yellow received 2 votes and green received 18 votes?

Back

The ratio of votes for yellow to green is 2:18, which can be simplified to 1:9.

Front

What does it mean to simplify a ratio?

Back

Simplifying a ratio means reducing it to its simplest form by dividing both sides by their greatest common divisor.

Front

If the ratio of two quantities is 4:5, what does this imply about their relationship?

Back

This implies that for every 4 units of the first quantity, there are 5 units of the second quantity.

Front

What is the importance of understanding ratios in real-life applications?

Back

Understanding ratios is important for making comparisons, analyzing data, and solving problems in various fields such as finance, cooking, and science.