Q&A for How to Solve Fraction Questions in Math

You would turn the 12 into a fraction, into 12/1 because 12/1 is the same thing as 12. Next, an easy way to divide would be to the reciprocal method. You would leave he first fraction in the problem as 12/1, then you would turn 12/13 into 13/12 and then simply multiply across to get your answer.

Assuming all the girls and boys are students. First divide the number of boys by 5 (200 / 5 = 40). Then multiply that by 8 (40 * 8 = 320). Add the number of boys (200) to the number of girls (320) to get the total students (200 + 320 = 520).

5/10 = 50/100. 50/100 + 13/100 = 63/100.

Act like the whole number is also a fraction (i.e. the number over 1). Then multiply it as you would two fractions. Multiply the numerators (or the top numbers) and multiply the denominators (or the bottom numbers). The fraction that results is your answer. E.g. 3 × 1/2 3/1×1/2=3/2 3/2 or 1 1/2

To figure this out, you just have to know how to calculate percentages in general, which is actually quite simple. Any percentage can be rewritten as a decimal value between 0 and 1, where 0 is 0% and 1 is 100%. To convert a percentage into a decimal value, just move the decimal place two spaces to the left. So, 32.6% becomes .326. Now, to find 32.6% of 25.8, just multiply 25.8 by .326, giving you 8.4108.

Convert each fraction to an equivalent fraction with a denominator of 15, then compare numerators.

7/9 - 2/3 = 1/9. Lowest common denominator is nine, so the first fraction in the question 7/9 stays the same. Since 3 goes into 9 three times, you are going to multiply 3 times the top number in the second fraction, so 3x2 making the top number 6. Now all you have to do is subtract the top 2 numbers 7-6 giving you a final answer of 1/9. I think John used too much string on that one!

Write the fractions with a common denominator. Subtract the second numerator from the first numerator and put the answer above the common denominator.

Write the percentage as the numerator of a fraction. Write 100 as the denominator. Reduce the fraction to lowest terms if possible.

Find the lowest common denominator between all of them and the put them in that order. (Remember to then order them in their original fractions, not the changed form.)

Assuming the numerator is equal to or larger than the denominator (if not, you can't convert the fraction to a whole number), divide the numerator by the denominator. The quotient is the whole number you're looking for. If there's a remainder, that's the numerator of the fraction left over, with the denominator remaining the same as it was.

It's really a process of trial-and-error. You're looking for a multiple of one denominator that is also a multiple of the other denominator(s). One way of doing this (in the case of two denominators) is to multiply the denominators together. That will give you a common denominator but not necessarily the lowest common denominator. Once you've multiplied the two denominators together, you could divide the product by two (or some other small integer) and see if the result is still a multiple of each denominator. Repeat that process if possible until you find the lowest number that is a multiple of each denominator.

Let the decimal be the numerator of the fraction. Let 100 be the denominator. Reduce the fraction if possible.

You have to convert the fractions to equivalent fractions with whole-number denominators. For example, if a denominator is ¼, multiply both the numerator and the denominator by any number that would change ¼ to a whole number. You could choose 4, 8, 12, etc.

For multiplication you won't need to, it will just be / 1. For addition/subtraction multiply the numerator (top part) by the multiple that the new denominator is of the old denominator. For example: 10/3 -> 20/6.

If you mean 1 divided by 1/2, it's 2. If you mean 1 multiplied by 1/2, it's 0.5.

There are 5/9 left. 5/9 of 45 is (45)(5/9) = 225 / 9 = 25.

He does ¼ of his daily work in ¼ of a day. Therefore, he completes ¼ of half a set in one day. ¼ x ½ = 1/8 of a set in ¼ of a day.

If it sounds like the answer should be smaller than the original amount (and the fraction is less than 1), multiply by the fraction. If it sounds like the answer should be larger than the original amount (and the fraction is less than 1), divide by the fraction. (If the fraction is greater than 1, reverse those directions.)

See Do Well in Calculus .

Multiply 54 by 5/6. 54 times 5 equals 270. Then divide 270 by 6 to get 45. So you just multiply 54 by 5/6 to get 45.

Convert the mixed number to an improper fraction, 17/6. The new numerator is your answer.

For some great instruction on this, check out wikiHow to Reduce Fractions .

3/6 = 1/2. In word problems, "of" indicates multiplication. So you get (1/2)x(966) = 966/2 = 483.

The easiest way to do this is to view the first two numbers as a fraction (39/10), and then find one-tenth of that fraction. That can be done easily by simply multiplying the denominator by 10. So it's 39 / (10 x 10), which is 39/100.

First convert it into improper fraction, then perform the necessary operation.

4/4 is one-third larger than 3/4. Therefore, you're looking for a number that is 1/3 larger than 12.5, or 4/3 of 12.5, which means 12.5 multiplied by 4/3. (12.5)(4/3) = 50/3 = 16 2/3.

You can use fractions to divide the number of slices in the two pizzas by three people, which will show you how many slices each person can have.

5 x (3 1/2) = 5 x (7/2) = 35/2 = 17 1/2.

Assuming this question is meant to be about fractions, 10.75 = 10¾ = 43/4. (43/4)(32) = 1376/4 = 344.