Equivalent Ratios

Front

What are equivalent ratios?

Back

Equivalent ratios are two or more ratios that express the same relationship between numbers, 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, you can cross-multiply and see if the products are equal, or simplify both ratios to their lowest terms.

Front

What is the equivalent ratio of 4:5 when both terms are multiplied by 2?

Back

The equivalent ratio is 8:10.

Front

What is the value of the ratio 3:4?

Back

The value of the ratio 3:4 is 3/4.

Front

If the ratio 1:2 is expressed as a fraction, what is it?

Back

1:2 is expressed as the fraction 1/2.

Front

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

Back

No, 6:3 simplifies to 2:1, while 3:6 simplifies to 1:2, so they are not equivalent.

Front

What is the process to find an equivalent ratio using division?

Back

To find an equivalent ratio using division, divide both terms of the ratio by the same non-zero number.

Front

If a ratio is 15:30, what is one equivalent ratio found by division?

Back

One equivalent ratio is 1:2, obtained by dividing both terms by 15.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first term is the numerator and the second term is the denominator.

Front

How do you simplify a ratio?

Back

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