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 can you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, you can cross-multiply the terms. If the cross-products are equal, the ratios are equivalent.

Front

What is the ratio of 3 to 6?

Back

The ratio of 3 to 6 can be simplified to 1:2, which is an equivalent ratio.

Front

Are the ratios 4:8 and 2:4 equivalent?

Back

Yes, both ratios simplify to 1:2, making them equivalent.

Front

If a ratio is 5:10, what is its equivalent ratio?

Back

An equivalent ratio is 1:2, obtained by dividing both terms by 5.

Front

What does it mean if two ratios are not equivalent?

Back

If two ratios are not equivalent, it means they do not represent the same relationship between the two quantities.

Front

Are the ratios 6:12 and 3:5 equivalent?

Back

No, 6:12 simplifies to 1:2, while 3:5 is not equivalent.

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as equivalent fractions. For example, the ratio 2:3 is equivalent to the fraction 2/3.

Front

If you have the ratio 1:4, what is an equivalent ratio with a numerator of 3?

Back

An equivalent ratio with a numerator of 3 would be 3:12.

Front

How can you express the ratio 10:15 in simplest form?

Back

The simplest form of the ratio 10:15 is 2:3.