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the answer is smaller than the whole number because you're taking a fraction of the second number. it's like multiplying by a decimal.

Q: Is the product of a fraction that is less than one and any whole number less than or greater than the whole number?

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Any fraction can be multiplied by a whole number so that the product is a whole number. Simply multiply the fraction (in rational form) by its denominator.

how to write 6/9 as a product of a whole number and a unit fraction.

The question is ambiguous. Do you want to know how to multiply a fraction by a whole number, as well as by a mixed number? Or are you asking how to multiply a whole number by a mixed number and express the product as a fraction? Or what?

The mixed number consists of a whole number and a fraction. Multiply the denominator of the fraction portion by the whole number and to this product add the numerator of the fraction portion. This value is the numerator of the new improper fraction. The denominator of the new improper fraction is the same as the denominator of the original fraction portion of the mixed number.

a fraction cannot be a whole number

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greater than

product of a fraction less than 1 and a whole number greater than or less than the whole Number

It can be greater than or less than it.

less than

less than

less than

The answer can be another fraction and a whole number or it can be a whole number.

No, the statement is not necessarily true.

Any fraction can be multiplied by a whole number so that the product is a whole number. Simply multiply the fraction (in rational form) by its denominator.

It can be either - depending on whether the whole number is negative or positive.

how to write 6/9 as a product of a whole number and a unit fraction.

It depends on the whole number. The two numbers could be positive or negative which means that the product could be larger or smaller.