I need help with my homework

Question

This is the math problom 1 2/3 - 3/4=

Answer 1

Convert 1 2/3 into an improper fraction as 5/3.

Then we have 5/3 - 3/4.

Now, we need to get a common denominator of 12.

5/3 gets multiplied top and bottom by 4 to get 20/12.

3/4 gets multiplied top and bottom by 3 to get 9/12.

So, 20/12 - 9/12 = 11/12

Answer 2

Hi Saphtic S.

11/12

If your problems says

1 AND (2/3) - 3/4 =

You first need like denominators to subtract fractions

You need a least common denominator to subtract fractions

That least common denominator between 3 and 4 is 12, or 3*4

Now you need raise 2/3 and 3/4 to equivalent fractions with denominators of 12

2/3 = 8/12

3/4 = 9/12

So your problem becomes

1 and (8/12) - 9/12

You can convert your mixed number to an improper fraction, this will make 1 and (8/12) larger than 9/12

Because

1 and (8/12) = 12/12 + 8/12 = 20/12

Now we have

20/12 - 9/12 and we can do the subtraction

20/12 - 9/12 = 11/12

 

Answer 3

Hello Saphtic,

The first thing you need to do is convert the mixed number of 1 2/3 into an improper fraction by multiplying the denominator 3 by the whole number 1 and then adding that product to the numerator 2 in the given mixed number:

(3 x 1) + 2 = 5.

Your newly-converted improper fraction becomes 5/3.

Now you will add 5/3 - 3/4.

But first you must find a common denominator, which in this case is 12 because 12 is the only that both denominators 3 and 4 above can be multiplied into evenly, and are therefore factors of 12 as whole numbers themselves.

By multiplying 3x4 to get 12 as the new denominator in the improper fraction of 5/3, you must now multiply 5x4 to get the ensuing numerator of 20. Therefore, your new (improper) fraction on the left is 20/12.

For the second fraction: multiply 4x3 to get 12 as its new denominator, and do the same for 3x3 to get the new numerator of 9 therein. Now, your new fraction on the right is 9/12.

Finally, subtract 20/12 - 9/12 by leaving the common denominators as they are and subtracting the two numerators from each other accordingly: 20-9.

Your final answer is 11/12.