untitled

Front

What is a ratio?

Back

A ratio is a relationship between two numbers that shows how many times the first number contains the second. It can be expressed in the form of a fraction, with a colon, or with the word 'to'. For example, the ratio of 2 to 3 can be written as 2:3 or 2/3.

Front

How do you find the total when given a part and a ratio?

Back

To find the total when given a part and a ratio, you can set up a proportion. For example, if the ratio of strawberries to total fruits is 20:55 and you know there are 20 strawberries, you can find the total by using the equation 20/x = 20/55, where x is the total.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms. For example, if you have a/b = c/d, then you can solve for one variable by calculating a*d = b*c.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit of another quantity. For example, if Justin types 408 words in 4 minutes, his unit rate is 102 words per minute.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, simply write the first number as the numerator and the second number as the denominator. For example, the ratio 2:3 can be written as the fraction 2/3.

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they represent the same relationship. For example, the ratios 1:5 and 2:10 are proportional because they can be simplified to the same fraction.

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD). For example, the ratio 30:54 can be simplified to 5:9 by dividing both numbers by 6.

Front

What is the relationship between ratios and fractions?

Back

Ratios and fractions both represent a relationship between two quantities. A ratio compares two quantities directly, while a fraction represents a part of a whole.

Front

How do you find equivalent ratios?

Back

To find equivalent ratios, you can multiply or divide both terms of the ratio by the same non-zero number. For example, the ratio 2:3 is equivalent to 4:6.