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# hi I am new in maths and trying to practice it but I feel a lil lost in the one 3/4 +1/3 / 2/12 - 1/2=

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hi I am new in maths and trying to practice it but I feel a lil lost in the one 3/4 +1/3 / 2/12 - 1/2=

Mar 13, 2019

#1
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When you're adding or subtracting fractions, you always want to start by giving them all a common denominator. So, we have $$\frac {3/4 + 1/3}{2/12} - 1/2 = \frac {9/12 + 4/12}{2/12} - 6/12$$. This helps us calculate the value without messing anything up. So adding the top part, we get $$\frac {13/12}{2/12} - 6/12$$. The fraction on the bottom is pesky, so we flip 2/12 to 12/2, and now it's multiplying. $$13/12 \cdot 12/2 -6/12 = (13/2) \cdot 6 - 1/2$$. 6 times 13 is 78, but we can't forget the denominator of two, so it turns out to be 39 - 1/2. The answer is 38 1/2.

Hope this helps!

Mar 13, 2019
#4
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You did not follow the rule of GEMDAS. Division comes before any Addition or Subtraction.

$$\frac{3}{4}+\frac{1}{3}/\frac{2}{12}-\frac{1}{2}$$. Following GEMDAS, you would do $$\frac{1}{3}/\frac{2}{12}$$ first. Since, when dividing fractions, you really multiply them by the recipricol, you would really do $$\frac{1*12}{3*2}=\frac{12}{6}=2$$.

Following the communitive property of addition, you would then do $$\frac{3}{4}+2-\frac{1}{2}=2+\frac{3}{4}-\frac{1}{2}$$, to subtract the fractions easier.

NOW is when you find the common denominator, which is 4. You then get $$2+\frac{3}{4}-\frac{2}{4}=2+\frac{1}{4}=2\frac{1}{4}$$.

So, $$2\frac{1}{4}$$ is your final answer!

Guest Mar 13, 2019
edited by Guest  Mar 13, 2019
#2
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Need to be careful, here......assuming that we have

3/4 +(1/3) /( 2/12) - 1/2

We always perform any divisions from left to right before  any additions

So.....we really have

3/4 +( [1/3] / [2/12] ) - 1/2 =

So.....we  are doing this, first :     (1/3 ) /  ( 2/12)   =    (1/3 ) / (1/6)  =  (1/3) * (6/1)  = 2

So....now we have

3/4 + 2 - 1/2  =

3/4 + 8/4 - 2/4  =

11/4 - 2/4  =

9 / 4   Mar 13, 2019
#3
+1

According to GEMDAS, you do Division before Addition or Subtraction. I would split the problem into two seperate problems.

Since you start with division, start by doing $$\frac{1}{3}/\frac{2}{12}$$. When dividing fractions, you take the dividend and multiply it by the reciprocal of the divisor, giving you $$\frac{1}{3}*\frac{12}{2}=\frac{12}{6}=2$$.

So, now you have $$\frac{3}{4}+2-\frac{1}{2}=x$$. Using the communitive property of addition, you can move the fractions closer together to make $$2+\frac{3}{4}-\frac{1}{2}=x$$.

Now, you want a common denominator. The least common denominator is 4, so you can multiply $$\frac{1}{2}$$ by 2 to get $$\frac{2}{4}$$

You should now have this: $$2+\frac{3}{4}-\frac{2}{4}$$. Subtract the fractions first to get $$2+\frac{1}{4}$$. Now, just add them together, to get $$2\frac{1}{4}$$.

So, the final answer will be $$2\frac{1}{4}$$$$\frac{9}{4}$$, or 2.25. Hope that this helped!

Mar 13, 2019
edited by Guest  Mar 13, 2019