Study guides

☆☆

Q: How can you use the reciprocal of a number when dividing a mixed number by a mixed number?

Write your answer...

Submit

Still have questions?

Continue Learning about Basic Math

If you are making use of long division method, the process of dividing a whole number is actually a subset of the process of dividing the decimals. While dividing both you may get a quotient with decimal places. Some exceptions to this do exist in case of whole numbers. Like when you are dividing 100 by 2, the quotient 50 has no decimal places.

By dividing

250% is the same thing as 2.5. This conversion from percent to decimal form is the first step. The part of this number before the decimal, 2, can be considered the whole number part of your target mixed number. As for the part after the decimal, the .5, consider its rightmost place (in this case the last significant digit is in the tenths place) and use it as the denominator. Place your decimal part over this denominator: 5/10. This yields a mixed number of 2 and 5/10. All that remains now is to simplify. 5 and 10 have common factor 5, so cancelling out those factors from top and bottom leaves 1/2. That means your mixed number is 2 and 1/2.

250% is the same thing as 2.5. This conversion from percent to decimal form is the first step. The part of this number before the decimal, 2, can be considered the whole number part of your target mixed number. As for the part after the decimal, the .5, consider its rightmost place (in this case the last significant digit is in the tenths place) and use it as the denominator. Place your decimal part over this denominator: 5/10. This yields a mixed number of 2 and 5/10. All that remains now is to simplify. 5 and 10 have common factor 5, so cancelling out those factors from top and bottom leaves 1/2. That means your mixed number is 2 and 1/2.

To convert a percent into a fraction, simply use your number as the numerator and use 100 as the denominator, which would give you 44/100. You'll then need to simplify both numbers by dividing them both by 4, which would give you a final answer of 11/25.

Related questions

Convert the mixed number into an improper (top-heavy) fraction first. Then swap the numerator and denominator.

The definition is the same as the definition of just about any division. Dividing by a number can be defined as multiplying by the reciprocal of the number. The reciprocal is the number which, when multiplied by a number, results in a product of 1. For example, dividing by 2 is defined as multiplying by 1/2 (since 2 x 1/2 = 1). Division can also be defined as finding a solution of an inverse multiplication problem. For example, 5 / 2 = x is equivalent to x times 2 = 5; thus, the division can be defined as finding a number that solves the multiplication. Although I didn't use mixed fractions in the above examples, the definitions are exactly the same for mixed numbers.

Division by a number is the same as multiplication by its reciprocal. That is, n / a = n * (1/a) and as you should know, (1/a) is the reciprocal of a.

Division is multiply by the reciprocal.

there was an amount of mixed numbers.

use your brain

Yes

Biologists use dividing cells to determine the number of chromosomes in an organism because when cells go through mitosis (the process of dividing) the chromosomes become much more visible.

you can use the reciprocal in this situation: (1/4)^-2 to get rid of the "-" in front of the power, you can just use the reciprocal of the number in brackets: (4/1)^2 which is of course: 4^2 which would equal: 16 You may also use a reciprocal in a situation like this: 1/4 divided by 1/2 you would use the reciprocal of the second number to turn the divide into a multiplication: 1/4 X 2/1 which would equal: 1/2 There r probably a lot of other ways too, but those r possibly the most common hope this helped XD

Dividing fractions invole multiplacation because you can use it too see how many time's a number goes into another answer. And that is why dividing involves multiplacation.

If I understand the use of "reciprocal" correctly, the answer is 249 degrees.

Think of it like this.... If we are dividing fractions and we set those fractions up in a fraction such as, 2/3 ___ 3/4 then how would we get rid of the bottom fraction? We would multiply it by the reciprocal 4/3, so that it's now equal to one, and then because we multiplied the bottom by 4/3, we must also multiply the top by 4/3. So now we have... 2/3 * 4/3 _______ 3/4 * 4/3 = 8/9 ___ 1 = 8/9 That's why we multiply by the reciprocal of a fraction when dividing! E2020 people this should be in your notes? The reciprocal is one of two numbers whose product is 1; it is also called multiplicative inverse.

People also asked