0
Add your answer:
Earn +20 pts
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.
Why is multiplying or dividing the numerator and the denominator by the same number the same as multiplying or dividing the fraction by 1?
Because multiplying or dividing them by the same NON-ZERO number does not alter their ratio.
Explain why dividing the numerator and denominator of a fraction by the greatest common factor is the most efficient way of simplfying the fraction?
By dividing both the numerator and denominator by the same number is like dividing by 1.
Explain why dividing any fraction by 1 equals the fraction?
Because, 1 multiplied by a number or fraction will equal the same thing, that's what also happens with dividing by 1. I hope I helped!
What is a fraction that can be changed dividing it?
a fraction that can be changed by dividing it is called an improper fraction.
Why is dividing by a fraction the same as multiplying by its reciprocal?
Because by definition division , by a non-zero number is the inverse operation to multiplication.
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.
Why is multiplying or dividing the numerator and the denominator by the same number the same as multiplying or dividing the fraction by 1?
Because multiplying or dividing them by the same NON-ZERO number does not alter their ratio.
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
Explain why dividing the numerator and denominator of a fraction by the greatest common factor is the most efficient way of simplfying the fraction?
By dividing both the numerator and denominator by the same number is like dividing by 1.
Explain why dividing any fraction by 1 equals the fraction?
Because, 1 multiplied by a number or fraction will equal the same thing, that's what also happens with dividing by 1. I hope I helped!
What is a fraction that can be changed dividing it?
a fraction that can be changed by dividing it is called an improper fraction.
Why do you take the reciprocal of the second fraction when dividing?
Because division by a number (the second fraction) is the same as multiplication by its reciprocal.
Why does the product of two fractions has the same value before and after dividing the numerator and denominator by the greatest common factor?
If you are dividing the numerator and the denominator by the same number (the GCF), it is the same as dividing the fraction by 1, which will leave it unchanged and create the same product.
Why is multiplying or dividing the numerator and denominator by the same nonzero number the same as multiplying or dividing the fraction by 1?
because of mathematical equivalence: it doesn't change the result
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
Does the numerator in a fraction always stay the same?
If no arithmetic operation is performed on the fraction, then yes. Otherwise, probably not.
