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When does multiplying by a fraction give an answer that is larger than that original answer?
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 multiplying fraction by fraction the product will always be?
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.
What statement about multiplying fractions and mixed numbers is not true?
A common misconception is that multiplying fractions always results in a smaller number. While it is true that multiplying two proper fractions (less than one) results in a smaller fraction, multiplying a fraction by a mixed number can yield a larger product if the mixed number is greater than one. Therefore, the statement "Multiplying fractions always results in a smaller number" is not true.
What operation is the same as dividing by a fraction?
Multiplying by the reciprocal of the fraction.
Do you use the reciprocal of the fraction when multiplying?
No.
When does multiplying by a fraction give an answer that is larger than that original answer?
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 why does the quotient get larger?
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.
When multiplying fraction by fraction the product will always be?
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.
What statement about multiplying fractions and mixed numbers is not true?
A common misconception is that multiplying fractions always results in a smaller number. While it is true that multiplying two proper fractions (less than one) results in a smaller fraction, multiplying a fraction by a mixed number can yield a larger product if the mixed number is greater than one. Therefore, the statement "Multiplying fractions always results in a smaller number" is not true.
Why is the quotient larger than the dividend when dividing by a unit fraction?
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.
What operation is the same as dividing by a fraction?
Multiplying by the reciprocal of the fraction.
Do you use the reciprocal of the fraction when multiplying?
No.
Why is the answer larger when you multiply a whole number by a whole number and smaller when you multiply a whole number by a proper fraction?
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
When multiplying use fraction notification we form products in the numerator and the denominator but do not immediatily calculate the product?
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.
Dividing by a fraction will increase the number but multiplying by a fraction will decrease the number?
true
Which fraction is larger one third or two fifths?
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.
Why is multiplying or dividing the numerator and denominator by the same nonzero number the same as multiplying or dividing the fraction the fraction by 1?
Because doing so is equivalent to multiplying or dividing by x/x, which can be cancelled down to 1.
