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Dividing by a number is the same as multiplying by its reciprocal because of the fundamental property of fractions. When you divide by a number, you can rewrite it as multiplying by one over that number. For example, dividing by 2 (or 2/1) can be expressed as multiplying by 1/2, which effectively gives the same result. This relationship simplifies calculations and is a foundational concept in arithmetic and algebra.
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What operation is the same as dividing by a fraction?
Multiplying by the reciprocal of the fraction.
Why do you have to switch the numerator and denominator when dividing fractions?
This is because dividing by a number is the same as multiplying by its reciprocal.
Why does the method of dividing fractions work?
This is related to the fact that dividing by a number is the same as multiplying with the number's reciprocal.
Multiplying by the reciprocal of a rational expression is the same as by the original expression?
It is the same as dividing by the original expression.
How is dividing rational expressions like multiplying rational expressions?
To divide by a fraction, you simply multiply by the reciprocal. For example, dividing by 3/5 is the same as multiplying by 5/3.
Why is dividing by a number the same as multiplying by its reciprocal?
That is the definition of reciprocal.
Dividing by a nonzero number is the same as multiplying by the?
What is the inverse reciprocal of 0.01
What operation is the same as dividing by a fraction?
Multiplying by the reciprocal of the fraction.
How is multiplying and dividing rational numbers similar?
Dividing by a non-zero rational number is the same as multiplying by its reciprocal.
Why do you have to switch the numerator and denominator when dividing fractions?
This is because dividing by a number is the same as multiplying by its reciprocal.
Why does the method of dividing fractions work?
This is related to the fact that dividing by a number is the same as multiplying with the number's reciprocal.
Multiplying by the reciprocal of a rational expression is the same as by the original expression?
It is the same as dividing by the original expression.
Does dividing by 4 result in the same answer as multiplying by the reciprocal of 4?
16
Dividing one third is the same as multiplying by what number?
Dividing by any fraction is the same as multiplying by that fraction's reciprocal. To find a fraction's reciprocal on a calculator, simply raise the fraction to the power of -1. In this case, dividing by 1/3 is the same as multiplying by (1/3)-1 = 3. For example, 8 / 1/3 = 8 x 3 = 24
How is dividing rational expressions like multiplying rational expressions?
To divide by a fraction, you simply multiply by the reciprocal. For example, dividing by 3/5 is the same as multiplying by 5/3.
What is 36 divided by 0.25?
144
How are multiplying and dividing fractions similar?
Dividing anything by a fraction is the same as multiplying by the fraction's reciprocal. For example, 4 ÷ 2/7 = 4 x 7/2 = 14
