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No not always true. Say you have a mixed number of 4 and 9/10 tines a fraction 9/10 you have 49/10 x 9/10 = 441/100 = 4.41 which is greater than 4

Q: Is it true the product of mixed numbers between 4 and 5 and a fraction between 0 and 1 always less than 4?

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A fraction multiplied by its reciprocal is always equal to one. This is because the reciprocal is an inversion of the fraction. The denominator of a fraction is the same number as the numerator of the reciprocal, and vice versa. The product of this is a fraction with the same numbers for the denominator and reciprocal, which is also known as an equivalent fraction. Equivalent fractions are always equal to one.

The only generalisation posible is that it will always be a rational number. The product can be positive or negative; it can be a fraction or an integer, it can be larger or smaller.

No, and it is not always less than 4, either.

No.

-1

Related questions

A fraction multiplied by its reciprocal is always equal to one. This is because the reciprocal is an inversion of the fraction. The denominator of a fraction is the same number as the numerator of the reciprocal, and vice versa. The product of this is a fraction with the same numbers for the denominator and reciprocal, which is also known as an equivalent fraction. Equivalent fractions are always equal to one.

No. The product of a mixed number between 4 and 5 and a fraction between 0 and 1 is always less than 5, but is not always less than 4.

The only generalisation posible is that it will always be a rational number. The product can be positive or negative; it can be a fraction or an integer, it can be larger or smaller.

No, and it is not always less than 4, either.

They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.

No.

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Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

No, it is not true.

The statement is false.

No.

The product of negative number and a positive number is always a negative. The product of two positive numbers, or two negative numbers, is always a positive.