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Dividing fractions by a whole number isn't as hard as it looks. To divide a fraction by a whole number, all you have to do is to convert the whole number into a fraction, find the reciprocal of that fraction, and multiply the result by the first fraction. If you want to know how to do it, just follow these steps:
Practice Problems
Steps

1Write the problem. The first step to dividing a fraction by a whole number is to simply write out the fraction followed by the division sign and the whole number you need to divide it by. Let's say we're working with the following problem: 2/3 ÷ 4.^{[1] X Research source }

2Change the whole number into a fraction. To change a whole number into a fraction, all you have to do is place the number over the number 1. The whole number becomes the numerator and 1 becomes the denominator of the fraction. Saying 4/1 is really the same as saying 4, since you're just showing that the number includes "1" 4 times. The problem should read 2/3 ÷ 4/1.^{[2] X Research source }Advertisement

3Dividing a fraction by another fraction is the same as multiplying that fraction by the reciprocal of the other fraction.

4Write the reciprocal of the whole number. To find the reciprocal of a number, simply switch the numerator and the denominator of the number. Therefore, to find the reciprocal of 4/1, simply switch the numerator and denominator so that the number becomes 1/4.^{[3] X Research source }

5Change the division sign into a multiplication sign. The problem should read 2/3 x 1/4.^{[4] X Research source }

6Multiply the numerators and denominators of the fractions. Therefore, the next step is to multiply the numerators and denominators of the fraction to get the new numerator and denominator of the final answer.^{[5] X Research source }
 To multiply the numerators, just multiply 2 x 1 to get 2.
 To multiply the denominators, just multiply 3 x 4 to get 12.
 2/3 x 1/4 = 2/12

7Simplify the fraction. To simply the fraction, you need to find the lowest common denominator, which means that you should divide both the numerator and denominator by any number that divides evenly into both numbers. Since 2 is the numerator, you should see if 2 divides evenly into 12  it does because 12 is even. Then, divide both the numerator and denominator by 2 to get the new numerator and denominator to get a simplified answer.^{[6] X Research source }
 2 ÷ 2 = 1
 12 ÷ 2 = 6
 The fraction 2/12 can be simplified to 1/6. This is your final answer.
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Community Q&A

QuestionOne fourth is 0.25. Dividing 0.25 by 3, we get 0.083. What is the fraction?DonaganTop AnswererIf you want the answer in the form of a fraction, don't convert to a decimal in the first place. Just divide ¼ by 3. That's 1/12.

QuestionWhat is 2 divided by 2/3?DonaganTop AnswererInvert 2/3, then multiply it by 2. 2/3 inverts to 3/2. 3/2 multiplied by 2 is 6/2, or 3.

QuestionWhat is 15 divided by 1 4/5 in fraction form?DonaganTop AnswererConvert the mixed number to an improper fraction. Invert it and multiply by the whole number. Reduce the resulting fraction if possible.

QuestionWhat is 1 1/4 x 3 1/3?Community AnswerTurn the mixed number into a improper fraction (5/4, 10/3) And multiply that way (50/12) and simplify using common factors (4 1/6).

QuestionWhat is 2 divided by 1/3?Community AnswerJust follow the instructions. It's extremely simple. 2 divided by 1/3 is the same as 2 times 3, which is 6.

QuestionHow do I simplify 1 1/7?DonaganTop AnswererIt's already simplified. You could express it as 8/7.

QuestionHow do I change a fraction to a percent?DonaganTop AnswererDivide the numerator by the denominator, multiply by 100, and add the % sign.

QuestionHow do I divide 4 by 2/3?Community AnswerDo 4/1 times the reciprocal of 2/3, which is 3/2, so multiply the numerators 4*3 is 12 and multiply the denominators 1*2 is 2, so you end up with 12/2, which is 6.

QuestionWhat about 11 divided by 1/6? Does it equal 1/66?Community AnswerNo. To divide by a fraction, you reciprocate the fraction and just multiply by the reciprocated fraction. 11 divided by 1/6 = 11 times 6/1, in other words, just 11 times 6. The answer is 66.
Tips
 Here's a mnemonic, an easy way to remember how to do all of this. Remember the following: "Dividing fractions is easy as pie, flip the second number and multiply!"Thanks!
 Another Variation of the above is KCF/KFC. Keep the first number. Change to multiplication. Flip the last number. Or F before C.Thanks!
 If you crosscancel before you multiply, you probably won't need to reduce to lowest terms because its already on its lowest term as you can see. In our example, before we multiply 2/3 × 1/4, we might notice that the first numerator (2) and the second denominator (4) have a common factor of 2, which we can cancel in advance. This changes the problem to 1/3 × 1/2, giving us 1/6 immediately and saving us the work of reducing the fraction at the end.Thanks!
 If any of your fractions is negative, this method still applies; just make sure you keep track of the sign as you go through the steps.Thanks!
 Do cross simplify before multiplying instead of simplifying at the end.Thanks!
 Keep the fraction the same. change the division sign into a multiplication sign. Change the whole number into a fraction by making the one as the denominator. Find the inverse of the second fraction. Find the product. Find simplest form.Thanks!
Warnings
 Only take the reciprocal of the second fraction, the one you're dividing by. Don't change the first one, the one you're dividing into. In our example, we converted the 4/1 to 1/4, but we left the 2/3 as 2/3 (we didn't change it to 3/2).Thanks!
References
 ↑ http://www.mathsisfun.com/numbers/fractionsdivisionwholenumbers.html
 ↑ http://www.math.com/school/subject1/lessons/S1U4L8DP.html
 ↑ https://www.montereyinstitute.org/courses/DevelopmentalMath/TEXTGROUP18_RESOURCE/U02_L2_T2_text_final.html
 ↑ https://www.montereyinstitute.org/courses/DevelopmentalMath/TEXTGROUP18_RESOURCE/U02_L2_T2_text_final.html
 ↑ https://www.mathsisfun.com/numbers/fractionsdivisionwholenumbers.html
 ↑ https://www.mathsisfun.com/leastcommondenominator.html
About This Article
To divide a fraction by a whole number, start by writing the whole number over 1 so it looks like a fraction. Then, find the reciprocal of the whole number by switching the numerator and denominator. Your reciprocal should look like 1 over the whole number. When you “divide” fractions by whole numbers, you actually multiply the fraction by the reciprocal of the whole number. To do so, multiply the numerators and denominators of the two fractions. Finally, simplify the result as much as you can. If you want to learn more, like how to simplify your fraction when you're finished, keep reading the article!