Equivalent Ratios

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

Front

How do you find the cost per item when given the total cost and quantity?

Back

To find the cost per item, divide the total cost by the number of items. For example, if 3 movie tickets cost $36, the cost per ticket is $36 ÷ 3 = $12.

Front

What is the ratio of school apps to game apps if Kelly has 5 school apps and 3 game apps?

Back

The ratio of school apps to game apps is 5:3.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they can be simplified to the same fraction. For example, 3:5 and 9:15 are equivalent because both simplify to 3/5.

Front

What is the next equivalent ratio of 3:5?

Back

An equivalent ratio can be found by multiplying both parts of the ratio by the same number. For example, multiplying by 2 gives 6:10.

Front

If 9 avocados cost $5, how much do 18 avocados cost?

Back

18 avocados cost $10, because the cost doubles when the quantity doubles.

Front

What is a double number line?

Back

A double number line is a visual representation that shows two related quantities and their equivalent ratios. It helps in understanding the relationship between the two quantities.

Front

Which ratio is NOT equivalent to 3:5?

Back

15:30 is NOT equivalent to 3:5 because it simplifies to 1:2, not 3:5.

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 factor (GCF). For example, the ratio 8:12 simplifies to 2:3.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 3:4 can be written as the fraction 3/4.