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Why is multiplying or dividing the numerator and denominator by the same nonzero number the same as muiplying o viding the fraction by 1?
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How is multiplying fractions by a whole number is different from adding adding and subtracting fractions with like denominators?
Adding and subtracting fractions can ONLY be done if the denominators are the same; then the calculation is done by adding or subtracting the numerators. Multiplying (and dividing) fractions does not require the denominators to be the same. To divide by a fraction the divisor is inverted (the original numerator becomes the new denominator and the original denominator becomes the new numerator) and then the fractions are multiplied. Multiplying fractions is achieved by multiplying the numerators together AND multiplying the denominators together. A whole number is the same as a fraction with the whole number as the numerator and a denominator of 1, so when multiplying by a whole number the denominator is multiplied by 1 (leaving it the same) and the is multiplication is effectively just multiplying the numerator by the whole number.
Do you need a common denominator for dividing and multiplying fractions?
No you do not.
How do you do to find a missing number on an equivalent fraction example?
If you have a missing numerator (top number), divide the new denominator (bottom number) by the original denominator and multiply this by the numerator.If you have a missing denominator, divide the new numerator by the original numerator and multiply this by the denominator.examples:1/2 = ?/6Dividing denominators: 6 ÷ 2 = 3 Multiplying the numerator: 1 x 3 = 3⇒ 1/2 = 3/61/4 = 3/?Dividing numerators: 3 ÷ 1 = 3 Multiplying the denominator: 4 x 3 = 12⇒ 1/4 = 3/126/8 = ?/4Dividing denominators: 4 ÷ 8 = 1/2 Multiplying the numerator: 6 x 1/2 = 3⇒ 6/8 = 3/43/6 = 2/?Dividing numerators: 2 ÷ 3 = 2/3 Multiplying the denominator: 6 x 2/3 = 4⇒ 3/6 = 2/4
Do you need a common denominator to divide fractions?
No. Dividing fractions is achieved by inverting the divisor and multiplying the resulting fractions. To multiply fractions the numerators are multiplied together to form the new numerator and the denominators are multiplied together to form the new denominator.
Can you get zero when you divide the numerator of an improper fraction by the denominator?
Yes, it is possible to get zero when dividing the numerator of an improper fraction by the denominator. This would occur when the numerator is already zero, regardless of the value of the denominator. In this case, the result of the division would be zero.
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 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.
What is the definition of dividing a fraction?
Dividing a friction is multiplying by its reciprocal. The reciprocal of a fraction is the numerator and the denominator switched around.
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 do you make fraction to decimal?
by dividing the numerator by the denominator
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.
When dividing fractions is a reciprocal used by multiplying?
Yes. One method for dividing fractions is to multiply the numerator fraction by the reciprocal of the denominator fraction.
How do you change 123.456 into a fraction?
123.456 is changed into fraction by multiplying and dividing it by a number such that both denominator and numerator don't contain decimal. Multiplying and dividing by 100, we get 123.456 as 123456/100.
When you are multiplying and dividing the numerator and the denominator how do you know what number to use?
The numerator is the first nuber and the denominatoris the second.Ex. 1/2=1÷2=0.5
Is a fraction or a ratio by dividing the numerator and denominator by a common factor?
Dividing the numerator and denominator by a common factor is how you simplify a fraction.
How do you get a decimal?
by dividing the denominator from the numerator .
How do you multiply a whole number by an improper fraction?
The same way as multiplying a whole number by an ordinary fraction: Multiply the numerator (top number) by the whole number and put it over the original denominator (bottom number). This can then be simplified by dividing the numerator and denominator by their highest common factor; or it can be converted into a decimal (which could be a whole number) by dividing the numerator by the denominator.
