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I think this would happen if both fractions are positive, one or both of them is improper (numerator and denominator are equal or numberator is larger than denominator), and at least one of them has a value greater than one.

Q: When multiplying a fraction by a fraction why do you get a larger fraction?

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A fraction can be larger than 1, for example, 4/2 is a fraction (which can be simplified to 2). Only a fraction that is larger than 1, multiplied by another number gives you a larger number.

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.

Multiplying by the reciprocal of the fraction.

No.

That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.

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A fraction can be larger than 1, for example, 4/2 is a fraction (which can be simplified to 2). Only a fraction that is larger than 1, multiplied by another number gives you a larger number.

When you divide by a fraction, you are multiplying by it's reciprocal or opposite. So if you are dividing by 1/2, it is the same thing as multiplying by 2/1.

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.

Rules for dividing by a fraction are multiply by the reciprocal. The reciprocal of a unit fraction is a whole number. Multiplying by a whole number will make the answer (quotient) larger. ex unit fraction 1/a 7 divided by 1/a = 7 x a/1 = 7a .... a times larger than 7.

Multiplying by the reciprocal of the fraction.

No.

That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.That is correct. It is easier to simplify the fraction before multiplying all the factors in the numerator and the denominator.

It is larger because the two whole numbers form a greater, larger number when multiplpied together. It is smaller when u multiply a whole number by a fraction because a fraction is a decimal and u get a smaller number when multiplying a number like 1/7 of 5

1/3 is the same as 5/15 by multiplying the numerator and the denominator by 5 2/5 is the same as 6/15 by multiplying the numerator and the denominator by 3 6/15 is larger than 5/15 so 2/5 is larger than 1/3. 2/5 is larger than 1/3.

true

Because doing so is equivalent to multiplying or dividing by x/x, which can be cancelled down to 1.

Eliminate the fraction by multiplying all the terms by the denominator.