Topic: Fraction subtraction help!?**Question:**
My daughter has homework and was in the gifted program when this lesson was taught. Tonight she has homework on that lesson and one of the problems is 6 2/3 - 4 5/6. Can someone complete this problem and show the work so we can do the rest. Thanks!!

June 19, 2019 / By Xylina

It is easier if you put them into improper fractions first. So multiply the denominator times the whole number in front, then add the numerator. Bottom times front plus top. Then put that number back over the denominator. It will be larger than the bottom number, that's why it is called an improper fraction. So, the fractions become 20/3 and 29/6, respectively. Next, find a common denominator. What number can both 3 and 6 (from the bottoms of the fractions) be divided by? 6. So, the second fraction already has six on the bottom, bet we convert the first to 6ths instead of 3rds. So, how many times does 3 go into 6. Two. So, multiply the numerator by two. The first fraction becomes 40/6. Now, simply subtract the top numbers, and leave the bottom ones the same. (40-29)/6. So, the answer is 11/6. If you must convert back to a mixed number (whole number and fraction) take the bottom number divided by the top. Write the nearest whole number without going over in front of the fraction. Subtract (in this case, 6) from the top number and put that into the top. The final answer is 1 5/6. I hope this helps!

👍 194 | 👎 3

Did you like the answer? i believe you have to convert the whole number into a fraction with the same denominator http://www.mathwizz.com/fractions/help/h... this site has a pretty simple explanation For example: 40-(4/5) = (40/1)-(4/5) you need a common denominator so to get that you multiply by 5 ... 5x(40/1) = 200/1 now you can subtract (200/5)-(4/5) and only subtract the numberator...196/5 and make that into a whole number 39 and 1/5 remainder.

very simple sis. you simply make the whole number have a common denominator with the other numbers like so: 40*(5/5) - 4/5 5/5 is the same thing as one so it doesnt change anything on the other side of the equation, repre- sented by 'x' 200/5 - 4/5 = 196/5 = 39 1/5 you can do the same with the other questions 48*(3/3) - 2/3 144/3 - 2/3 = 142/3 = 47 1/3 and finally the last question 98*(7/7) - 3/7 686/7 - 3/7 = 683/7 = 97 4/7 there you have it :) nice and easy. nothing to frett about :D have a nice time doodling after acing that test sis!

When adding or subtracting fractions you find a common denomonator (the bottom half of the fraction) 6 x 3 = 18 + 2 = 20/3 4x6 = 24 + 5 = 29/6 to find a common denomnator you can look for a number that both of them can easily fit into 3 and 6 since 3 is the lowest common denomonator of the two you can start with multiples of 3 3 6 9 12 18 21 24 etc... ok 6 `12 18 24.. you dont even need to go that far.. we see that 6 is the second number you can also try by dividing the lowest by the second one -- this gets more tricky the more numbers you get (you can also multiply the numbers but the denomnators may be much larger meaning they may be a little more time consuming to work with especially with many different numbers) 3 div 6 is 2 so multiplying the first number 3 by 2 will give us the numbers we need 6 x 3 = 18 + 2 = 20/3 4x6 = 24 + 5 = 29/6 going back to the two lines 6 x 3 = 18 + 2 = 20/3 what you do to the top you have to do to the bottom 20 x 2 / 3 x 2 =40/6 40/6 + 4x6 = 24 + 5 = 29/6 40/6 - 29/6 = 11/6 OR 1 and 5/6ths The easy way of course is just knowing that you need to multiply the first one by 2.. so 6 2/3 - 4 5/6 6 2/3 - 4 5/6 deal with whole numbers first 6-4=2 2/3 - 5/6 =2(2/3) - 5/6 = 4/6 - 5/6 = - 1/6 2 - 1/6 = 1 5/6 if I'm remember correctly. just know you need to find a common denomator to add and subtract.. (but not to multiply or divide) or how about converting to a decimal form it can get trick with some decimals.. like 3rds etc.. .3333 etc..

👍 80 | 👎 -5

turn it into an improper fraction by multiplying 3 times 6 then do the same with the other problem get a lcd and subtract

👍 78 | 👎 -13

5\14 x 7\12 cancel out 7 and 14 you are left with 5/2 * 1/12 answer: 5/24 2\3 x 3\5 cancel out 3 you are left with 2/5 answer: 2/5 8\9 x 1\6 cancel out 8 and 6 you are left with 4/9 * 1/3 answer: 4/27 hope this will help you

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