Question

Select all that apply. Which of the following are true? Fractions and ratios cannot have zero in the denominator. Fractions and ratios are different names for the same thing. Some fractions and ratios can be written as mixed numbers. Fractions and ratios can be simplified the same way.

Answer 1

Answer:

True statements:

1. Fractions and ratios cannot have zero in the denominator.

3. Some fractions and ratios can be written as mixed numbers. Fractions and ratios can be simplified the same way.

Step-by-step explanation:

1. Fractions and ratios cannot have zero in the denominator: True.  

Reason- If the denominator in any fraction /ratio is zero, then it means the whole fraction will be equal to infinity (not-defined value)

2. Fractions and ratios are different names for the same thing. False

Reason- A fraction represents a number from the whole of something, in which the denominator represents the total number of equal parts of the whole. But, a  ratio represents a comparison between two quantities.

3. Some fractions and ratios can be written as mixed numbers. Fractions and ratios can be simplified the same way. True

Reason-The simplification method can be same but these two are not same quantities.

Answer 2

Answer:

1.  Fractions and ratios cannot have zero in the denominator.

2. Fractions and ratios are different names for the same thing.

4. Fractions and ratios can be simplified the same way.

Step-by-step explanation:

1. Fractions and ratios cannot have zero in the denominator:

The fraction will become undefined if the denominator is zero.

2. Fractions and ratios are different names for the same thing:

A fraction names part of a whole or part of a group while a ratio is a comparison between the two quantities.

4. Fractions and ratios can be simplified the same way:

Yes fractions and ratios can be simplified the same way by taking the greatest common factor.