The mixed number equivalent of the improper fraction

Question

31 over 5

is

6 and one fifth

.

Accepted Answer

Hello. Today we're going to be writing the improper fraction into the form of a mixed fraction. So what we are given is 27/4. Now, in order to start this process, you want to go ahead and divide your numerator by the denominator. So we're going to rewrite 27/4 as 27 divided by four. And now we want to go ahead and follow through with a division. So we want to ask ourselves can four divide into 27 and the answer to that is going to be no. However, if you do, if you multiply four by six, what you get is 24 which is very close to 27. So we're gonna divide 27 x 46 times. And that is going to give us three as a remainder. So this is going to be six with a remainder of three. Now what you want to go ahead and do is write the whole number which is the quotient as the leading number in your mixed fraction. And the question that we got here is six. So we're going to have six in front of the mixed fraction. Now we want to go ahead and represent the remaining part of the fraction with the remainder over the original denominator. So we're gonna have this fraction next to six which contains the original denominator from the improper fraction and the original denominator is going to be four. So we're going to put four in the denominator here next what goes in the numerator is going to be the remainder from the division and the remainder here is three. So we're going to put three in the numerator. And that means that the mixed fraction form of 27/ is going to be six with 3/4 and that's going to be the answer to this problem. And that means that the solution is going to be C. So I hope this video helps you understand how to convert an improper fraction into a mixed fraction, and I'll go ahead and see you all in the next video.

The mixed number equivalent of the improper fraction $31 over 5$ is $6 and one fifth$ .

Key Concepts

Improper Fractions

Mixed Numbers

Converting Improper Fractions to Mixed Numbers

Watch next