Ratio/Unit Rates/Equivalent Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities expressed as a fraction, using a colon, or in words.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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 in terms of 'per'.

Front

How do you find the unit rate from a total amount earned over time?

Back

To find the unit rate, divide the total amount earned by the total time taken.

Front

What is the ratio of 50 to 35 in simplest form?

Back

The simplest form of the ratio 50:35 is 10:7.

Front

If Alycia earned $20.40 in 3 hours, what is her unit rate?

Back

Alycia's unit rate is $6.80 per hour.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same form.

Front

How can you express the ratio of 35:14 in simplest form?

Back

The simplest form of the ratio 35:14 is 5:2.

Front

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

Back

Understanding ratios helps in making comparisons, analyzing relationships, and solving problems in various contexts such as cooking, finance, and statistics.

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.