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

Two ratios are equivalent if their cross products are equal. For example, for ratios a:b and c:d, they are equivalent if a*d = b*c.

Front

What is the relationship between equivalent ratios and fractions?

Back

Equivalent ratios can be expressed as equivalent fractions. For example, the ratio 1:2 is equivalent to the fraction 1/2.

Front

Are the ratios 4:5 and 8:15 equivalent?

Back

No, the ratios 4:5 and 8:15 are not equivalent because their cross products (4*15 and 5*8) are not equal.

Front

What is the first step to find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

Front

If the ratio of apples to oranges is 3:4, what is an equivalent ratio if we double the quantities?

Back

An equivalent ratio would be 6:8, as both terms are multiplied by 2.

Front

Is the ratio 15:30 equivalent to 1:2?

Back

Yes, the ratio 15:30 is equivalent to 1:2 because both terms can be divided by 15.

Front

What is the equivalent ratio of 14:18 when simplified?

Back

The equivalent ratio of 14:18 when simplified is 7:9.

Front

Can you give an example of a real-world situation where equivalent ratios are used?

Back

Equivalent ratios are used in recipes, where ingredients can be scaled up or down while maintaining the same proportions.

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.