Fractions?

Question

How do you subtrat these fractions like so: 2 1/2 - 2/3 - 1/6 . The answer is 1 2/3 but how do you get it, could you please show your work.

Answer 1

2 1/2 = 5/2
therefore your fraction is
5/2-2/3-1/6

Multiply all the numerators and denominators of all the terms with number in order to make denominators of all of them as same.

This is done by taking LCM of the denominators which in this case is 6.

Multiply 5/2 with 3/3; 2/3 with 2/2 and take 1/6 as it is because its denominator is already 6.

fraction becomes 15/6-4/6-1/6
the denominators in all the terms are same therefore you can take algebraic sum of all the numerators and devide the number so obtained by 6.

[15-4-1]/6
or 10/6
or 5/3 or 1 2/3.

Answer 2

To add or subtract fractions, they must all have the same denominator. Find the least common denominator (LCD), which is the smallest number that all the denominators divide into evenly. In this case, your LCD is 6.

Once you've found the LCD, convert all your fractions to that denominator by multiplying both numerator and denominator by the same number:

2½ = 2 (1*3)/(2*3) = 2 3/6
2/3 = (2*2)/(3*2) = 4/6

Then subtract the numerators as you would whole numbers, "borrowing" from a whole number if necessary:

2 3/6 - 4/6 = 1 9/6 - 4/6 = 1 5/6
1 5/6 - 1/6 = 1 4/6

Simplify your answer:

1 4/6 = 1 (2*2)/(3*2) = 1 2/3

Answer 3

The trick when adding and subtracting fractions is that you need all the denominators to be equal.

To do that, you need to find the least common denominator.

Since 6 is common to 2, 3 and 6 then 6 will be your denominator.

To get started, make 2 1/2 an improper fraction = 5/2 (this makes fractions easier to work with).

Next you need to make everything have a denominator of 6.

To get 5/2 to have a denominator of 3 you need to multiply by 3/3 = 15/6

To have 2/3 have a denominator of 6 you need to multiply by 2/2 = 4/6

Remember these are perfectly legal steps. In essence, all we are doing is multiplying these fractions by 1 (2/2 = 1. 3/3 = 1).

The last number already has a denominator of 6.

So we have:

15/6 - 4/6 - 1/6 = 10/6 (remember, when you add/subtract fractions you only add/subtract the numerator, never the denominator).

10/6 is an improper fraction so you need to simplify.

6 goes into 10 once with a remainder of 4 so

1 4/6

simplifying

1 2/3.

Answer 4

= 2 1/2 - 2/3 - 1/6
Change 2 1/2 to its improper form by multiplying 2, denominator, with 2, whole number, plus 1, numerator, thus its improper form is 5/2.
= 5/2 - 2/3 - 1/6
Find the least common denominator for the three fractions; in this case it's 6. For 5/2 the new numerator will be 6, the least common denominator, divided by 2, old denominator multiplied by 5, old numerator to arrive at new numerator which is 15, /, over 6, the new denominator to arrive at its new form which is 15/6. Apply the same procedure with the rest of the fractions, thus:
= 15/6 - 4/6 - 1/6
Simplify the numerators: 15 - 4 - 1 or 10
= 10/6
Reduce 10/6 to its simplest form
= 5/3
Change 5/3 to its proper form.
= 1 2/3

Answer: 1 2/3

Answer 5

You need to put everthng over the same denominator (the number on the bottom of the fraction). So

2 1/2 - 2/3 - 1/6
= 5/2 - 2/3 - 1/6
Put everything over 6. So
15/6 - 4/6 - 1/6
= 10/6
= 1 2/3
.

Answer 6

2 1/2 - 2/3 - 1/6=5/2-2/3-1/6=(15-4-1)/6=10/6=5/3=1 2/3

Answer 7

Method 1
2 3/6 - 4/6 - 1/6
2 3/6 - 5/6
1 6/6 + 3/6 - 5/6
1 9/6 - 5/6
1 4/6
1 2/3

Method 2
5/2 - 2/3 -1/6
15/6 - 4/6 - 1/6
15/6 - 5/6
10/6
5/3
1 2/3

Answer 8

ok..

(21/2) - (2/3) - (1/6)

(5/2) - (2/3) - (1/6)

[ (5x3) - (2x2) - (1) ] / 6

[ 15 - 4 - 1] / 6

10 / 6

5/3 = 1(2/3)