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=

Guest Mar 13, 2019

#1**+2 **

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!

LagTho Mar 13, 2019

#4**0 **

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**0 **

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

CPhill 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!

Guest Mar 13, 2019

edited by
Guest
Mar 13, 2019