Q&A for How to Divide Fractions by a Whole Number

If 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.

Invert 2/3, then multiply it by 2. 2/3 inverts to 3/2. 3/2 multiplied by 2 is 6/2, or 3.

Convert the mixed number to an improper fraction. Invert it and multiply by the whole number. Reduce the resulting fraction if possible.

Turn 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).

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

It's already simplified. You could express it as 8/7.

Divide the numerator by the denominator, multiply by 100, and add the % sign.

That is 108/2, or 54.

Do 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.

No. 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.

Turn 6 2/3 into an uneven fraction by multipying 6x3 plus 2 all over 3. Which equals 20/3. Next put 4 over 1 (4/1) now multiply across: 20x4 = 80 over 3x1=3. Final answer is 80/3 or turn into a mixed number by dividing 80 by 3. Equals 26 2/3.

When the divisor is a fraction, invert it and multiply it by the other number. 7 ÷ 7/8 = 7 x 8/7 = 8.

Invert 2/3 and multiply.

(1/4) / (1/3) = (1/4)(3/1) = 3 / 4.

Multiply the fraction's numerator by the whole number, and leave the denominator alone. Simplify and reduce if possible.

Simplifying (or "reducing") just means turning a fraction into a more easily understood form by choosing smaller numbers to represent the same value. For example, using 1/2 instead of 5/10 makes for an easier operation. Simplify a fraction by finding a prime number -- preferably a small one like 2, 3, 5, or 7 -- that will exactly divide into both the numerator and denominator. For example, with 5/10, you can exactly divide both 5 and 10 by 5 to produce 1/2.

Here is an example: 3 ÷ 2/3 What you would do is change the 3 to 3/1, change the ÷ to x, and change 2/3 to 3/2. Then do 3/1 x 3/2. You do the numerators times each other and the denominators times each other resulting in 9/1, or 9. 3 ÷ 2/3 = 9.

First turn mixed numbers into improper fractions, then invert the divisor and multiply it by the other fraction: 3 3/5 ÷ 2 ¼ = 18/5 ÷ 9/4 = 162/20, which reduces to 81/10 = 8 1/10.

Divide the total bags of popcorn (4) by the total number of people (14).

Convert 2½ to 5/2. Invert ¼ to 4/1. Then multiply 5/2 by 4/1. That equals 20/2, or 10. (That means, by the way, that there are exactly ten ¼'s contained in 2½.)

One fourth is 0.25. Dividing 0.25 by 6, we get 0.045. If you want to represent it as a fraction, 1/24.

When you divide by a fraction, you're essentially doing the same thing as if you multiplied by the reciprocal. In other words, switch the numerator with the denominator and then multiply. For your problem, you would multiply 11 by 5/1. That's the same as 11 x 5, which is 55.

2/3 divided by 2 is 1/3. Very easy.

Convert each mixed number into an improper fraction. Invert the second fraction. Multiply the two numerators together to get the new numerator. Multiply the two denominators together to get the new denominator. Reduce the new fraction if possible, and covert it to a mixed number if desired.

Invert 2/3, then multiply by 3. That gives you a fraction with a denominator of 2. Change it to an equivalent fraction with a denominator of 6. Then subtract.

Divide 1 1/3 (or 4/3) by 4.

Divide $925.00 by 3.

That's the equivalent of ¾ multiplied by 1/3, which is 3/12 or ¼.

(-2½) / (1¼) = (-5/2) / (5/4) = (-5/2)(4/5) = -20 / 10 = -2.

5 divides exactly into both 10 and 5.