MATH...HELP!!! fractions?

Question

on serious answers please. I sukx at math and dont need anymore confusion. Please explain/show how u got your answer so i can learn. thanks people! :D

3 5/6 divided by 3 1/2 =

quilt magazine gave instructions for making a table proper. A partial list of materials included 1/3 yard red print, 1/2 yard red/blue print, and 3/4 yard blue print. What would be the total yards of material needed for this project?

Pete Hall worked the following hours as a mamger for news.com, 12 1/4, 5 1/4, 8 1/2, 7 1/4. How many total hrs did he work?

Answer 1

The way to divide fractions is to first convert any mixed numbers to improper fractions and then multiply by the reciprocal (the reciprocal is what you get when you switch the numerator and the denominator). Thus for your first question, you have 3 5/6 ÷ 3 1/2 = 23/6 ÷ 7/2 = 23/6 * 2/7 = 46/42 = 23/21 or 1 2/21.

To add fractions, you must first convert all the fractions so that they have the same denominator, then simply add the numerators. So for your second question, 1/3 + 1/2 + 3/4 = 4/12 + 6/12 + 9/12 = 19/12 or 1 7/12.

If you're trying to add mixed numbers, you may do so either by converting to improper fractions and then adding, OR you can save yourself some time by adding the fractional portion and the whole number portion seperately, and then recombining. Conceptually, a mixed number is A b/c is A + b/c and so you're really just using the commutative property of addition to rearrange your numbers before adding. Thus for your third problem: 12 1/4 + 5 1/4 + 8 1/2 + 7 1/4 = 12 + 5 + 8 + 7 + 1/4 + 1/4 + 2/4 + 1/4 = 32+5/4 = 33 1/4

Answer 2

Conver to to Improper Fractions first: 3 5/6=6*3+5 sixths=23/6
3 1/2=2*3+1 halves=7/2 23/6 divided by 7/2 is equal to 23/6 times 2/7 Notice that 2/7 is just 7/2 upside down. That is how you divide fractions: multiply the fraction being divided by the reciprocal of the fraction dividing. Remember that even whole numbers can be written as fractions: Example 7 = 7/1, 99=99/1

To sum fractions, they all must be expressed using a "common denominator." The easiest way to find that is to multiply the denominators of the fractions. In this case that would be 3x2x4=24 Next express each fraction in terms of that common denominator: 1/3=8/24, 1/2=12/24, 3/4=18/24. Now that all are expressed using the same denominator, they may be summed: 1/3+1/2+3/4=(8+12+18)/24=38/24=19/12=12/12+7/12=
1 and 7/12 yards

Finally, converting all to their improper form:49/4+21/4+34/4 (note 17/2=34/4)+29/4=133/4
=33 and 1/4

Answer 3

For the first question, you have to turn it into a whole fraction.

3 and 5/6 is 23/6 (3x6+5 over 6), and 3 1/2 is 7/2 (3x2+1 over 2).

When you divide fractions, you reverse the numbers is the second fraction and multiply:

23/6 x 2/7 = 46/42 = 23/21.



For the second question, you have to get a common denomonator. 3, 2, and 4 have a common denomonator of 12. 1/3 = 4/12, 1/2 = 6/12, and 3/4 = 9/12.

4 + 6 + 9 = 19/12 = 1 7/12 yard = 3 feet and 7 inches.



For the third question, turn the fractions into lengths of time:
12 1/4 = 12 hours, 15 minutes
5 1/4 = 5 hours, 15 minutes
8 1/2 = 8 hours, 30 minutes
7 1/4 = 7 hours, 15 minutes

12+5+8+7 = 32 hours
15+15+30+15 = 1 hour, 15 minutes

32 hours + 1 hour, 15 minutes = 33 hours, 15 minutes worked



Hope this helps!

Answer 4

initiate with the properly suited lead them to have an identical denominator (4) carry out the operation, now you have one fraction on properly suited. Simplify it. Make the backside fractions have an identical denominator (4p) There are no like words to integrate. Take the properly suited fraction and multiply it by utilising the reciprocal of the backside one. (turn it) you are able to divide the 4 and 4p by utilising 4. Distribute the p throughout the properly suited. I finally end up with a loopy answer.

Answer 5

sorry i tried but im in 5th and going to 6th and we didn't do stuffthat complicated