Q&A for How to Multiply Fractions With Whole Numbers

Change the mixed number to an improper fraction, then multiply numerator by numerator and denominator by denominator. Simplify the answer if possible, and change it back to a mixed number if you like.

If you have a question of say, 4 x 2/3, take the 4 first, and put it out of 1, making it 4/1. The reason is that it's 4 wholes. To check, you can simplify 4/1, which will be 4, so it's obviously right.Then, taking 4/1 x 2/3, multiply the numerators first. The numerators, which are 4 and 2, will be multiplied to make 8. Question so far: 4/1 x 2/3= 8/? To find the denominator of the answer, take the denominators of the question, 1 and 3, and multiply those together. 1 multiplied by 3 will be 3. Question Answered: 4/1 x 2/3= 8/3. So, your answer is 8/3, and there you have it.

First, you make 7 into a fraction by putting it over 1, to create 7/1. Then you multiply across the top and across the bottom, which gives you 7/5. Because this is improper, you have to make this into a mixed number. To fix this, you have to divide 7 by 5. The answer is 1 with a remainder of 2. 1 is the whole number and 2 goes over the original denominator, 5. The final answer is 1 2/5.

This is as simple as it gets. Once you convert a number into a fraction, multiply all the numbers on the top to find the numerator and then all the numbers of the bottom to find the denominator.

You have two options. If you want to follow this guide, you will first need to change the mixed number into an improper fraction , then follow the process outlined in the guide. Alternately, you can convert the mixed number into a decimal number, then multiply. To do that, just convert the fraction part of the mixed number into a decimal and add it to the whole number.

You can do it in any order, but it may be easiest to multiply the fractions together first, then multiply that product by the whole number. To multiply the fractions together, you just need to follow the process outlined in this guide starting from Step 2.

You turn the whole number into a fraction by putting the whole number as the numerator and one as the denominator. Then you multiply straight across the top and straight across the bottom. Reduce if needed. (Example: 3/4 * 2 would be 3/4 * 2/1. Once you multiply straight across, you get 6/4, which can be reduced 3/2.)

It doesn't matter which number is larger. The process is the same.

1. Convert the whole number and fraction to an improper fraction by multiplying the whole number by the bottom number in the fraction, and adding it to the top number. For example, 3 1/2 = 7/2 2. Multiply the fractions like usual, top numbers together, and bottom numbers together. 7/2 x 1/3 = 7/6

Yes.

A negative fraction is multiplied just like a positive fraction, but the sign of the answer is affected. -¼ multiplied by 16 is -4.

You must first turn both into only fractions, then multiply them.

See further How to Divide Fractions by a Whole Number for details.

The .3 repeating becomes a fraction of 1/3, a .6 repeating becomes 2/3.

Follow this sequence: 1. Divide the numerator by the denominator. 2. Write down the whole number answer. 3. Write down the remainder, if any, as a fraction.

The whole numbers are added separately; the numerators of the fractions are added once the lowest common denominator has been established and the fractions converted.

All you do is get the total, than use any digit from the problem and do the opposite operation of the operation that you solved. If the final answer is not the same as the non-use digit than your answer is wrong. Example 1: 9+8=17 17-9=8 OR Example 2: 9+8=19 19-9=10.

2x = 10x/5. So 2x + x/5 = 10x/5 + x/5 = 11x/5 = 180. Multiplying by 5 gives us 11x = 900. Divide both sides by 11: x = 900/11 = 81.82.

Multiplication or division are done first, then addition or subtraction. 3½ x 4½ = (7/2) x (9/2) = 63/4. 2½ + 63/4 = 5/2 + 63/4 = 10/4 + 63/4 = 73/4.

Divide 40 by 6 2/9. First convert 6 2/9 to an improper fraction, then invert it, and multiply it by 40.

It depends on the number of children. There were 36 (6 x 6) pieces of pudding, and each child received five pieces (or 5/6 of a pudding). If there were five children, 25 (5 x 5) pieces were handed out, and 11 pieces were left (or 11/6 of a pudding). If there were six children, 30 (6 x 5) pieces were handed out, and six pieces were left (or 6/6 of a pudding). If there were seven children, 35 pieces (7 x 5) were handed out, so just one piece was left (or 1/6 of a pudding).

Change 2 1/3 to 7/3. Multiplying 7/3 by 5 gives us 35/3, or 11 2/3.

First multiply the two whole numbers together. Then multiply that product by the numerator of the fraction, leaving the denominator unchanged. Simplify if possible. An example: 4 x 6 x 2/5 = (4 x 6) x (2/5) = (24) x (2/5) = 48/5 = 9 3/5.

(¼)(6)(¼) = (¼)(¼)(6) = (1/16)(6) = 6/16 = 3/8.

Simplifying a proper fraction merely reduces both the numerator and the denominator proportionally. It will not change a proper fraction to an improper one.

Yes, once a fraction is fully reduced, leave it as is, or (if it's an improper fraction) you may change it to a mixed number if you'd like.

Do this when there are two equations in two unknowns ("variables"). Multiply or divide one equation by a constant term. Decide if you should multiply or divide the other equation by a different constant term or simply leave the second equation unchanged. The goal is to change either or both equations so that in the next step you can add the equations together or subtract one from the other and thereby eliminate one of the unknowns in the new equation derived from the addition or subtraction. You then solve for the remaining unknown, and use that value in either of the original equations to solve for the other unknown. See Solve Simultaneous Equations Using Elimination Method .

Simply multiply the numerators and the denominators.

You can place the whole over 1 and then multiply the numerator (top numbers) and the denominators (bottom numbers) ex. __5__ 4 x 6 __4__ x __5__ = __20__ or = 3 __3__ (reduced to 3 __1__ 1 6 6 6 2

Change 1 2/3 to 5/3, then multiply the numerator by 8 to get 40/3 or 13 1/3.