Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, indicating how many times the first quantity contains the second.

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or in words (e.g., 3 to 2).

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 fraction.

Front

How can you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, cross-multiply and compare the products. If the products are equal, the ratios are equivalent.

Front

In the ratio 7:3, what does the '7' represent?

Back

In the ratio 7:3, the '7' represents the part of the total that corresponds to the first quantity.

Front

If a book has 500 pages and the ratio of pages read to pages left is 7:3, how many pages are read?

Back

If the ratio is 7:3, then 7 parts of the total 10 parts (7+3) represent the pages read. Therefore, pages read = (7/10) * 500 = 350 pages.

Front

What is a real-life example of a ratio?

Back

A real-life example of a ratio is 4 meatballs to 1 cup of sauce.

Front

How can ratios be used in graphs?

Back

Ratios can be represented in graphs by plotting ordered pairs that reflect the relationship between the two quantities.

Front

What is the significance of the statement 'For every 6 hours of work you get $5'?

Back

This statement represents a ratio of work to pay, indicating a consistent relationship between the two quantities.

Front

How do you simplify a ratio?

Back

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