Question

Jack said that if you take a number and multiply it by a fraction, the product will always be smaller than what you started with. Is he correct? Why or why not? Explain your answer, and give at least two examples to support your thinking.

Answer 1

Is not correct. The product not always will be smaller.

Explanation:

A fraction could increase a number if you multiply it.

If the numerator is higher to the denominator, it will increase it.

If the numerator is smaller to the denominator, it will decrease it.

For example,

10 x 4/3

For fraction multiplication, multiply the numerators and then multiply the denominators to get

10×4/1×3=40/3= 13,33

13,33 is higher than 10.

5 x 10/3

For fraction multiplication, multiply the numerators and then multiply the denominators to get

5×10/1×3=50/3

16,66 is higher than 5.