To get the common denominator just multiply all the denominators i.e. 3 X 1 X 5 =15
Now, to make the denominators common, we have to multiply the numerator and denominator of each of the three fractions so the denominator is 15 for each
i.e. (10X5)/(3X5) + (4X15)/(1X15) + (2X3)/(5X3)
i.e. 50/15 + 60/15 + 6/15
Now, since the denominators are common, we can just add all the numerators
i.e. (50 + 60 + 6) / 15
i.e. 116/15==> answer
You can convert this to a compound fraction if you want or leave it as is as a simple fraction.
3 1/3 +4 +2/5 =
First you make everything a fraction:
3 1/3 = 10/3
4 = 4/1
2/5 stays the same
So you have
10/3 +4/1 +2/5 =
You need a common denominator to add all of these. Two of your denominators are 3 and 5 so 3x5=15 so your common denominator is 15.
Convert all into fractions: 10/3 = 50/15
4/1 = 45/15
2/5 = 6/15
So now you have :
50/15 + 60/15 + 6/15 = 116/15 reduce ( divide 15 into 116 )
I read the first number as ".3". If I am correct, this screws up my calculation which gave the same answer of 7 11/15. But, am I reading this first number correctly? Now, will someone help me?
P. S. Looks as if someone else reads it the same way and figured it out.
I assume this was 3 and not 0.3 as this is very different.
Step 1 rearrange the problem.
3 1/3 + 4 + 2/5 = 3+4+1/3+2/5 Transitive property of addition
step 2 add 3 +4
3+4+1/3+2/5=7+1/3+2/5
Easy so far now..
step3 find a common denominator (bottom number) the easiest way is to multiply them by each other.
1*5/3*5=5/15=1/3
2*3/5*3=6/15=2/5
new problem is
7+1/3+2/5=7+5/15+6/15
Step 4 add across
7+5/15+6/15=7 11/15
Step5 reduce the fraction if possible and required (not possible here)
If you had meant 0.3 then you must convert this to a fraction (not 0. any number is the same as that number/10 example 0.3=3/10 0.24=24/100) after that you must find the common denominator 3/10 2/5 1/3 since 2*5=10 we can do 10*3 or 30 for the denominator
3*3/3*10=9/30=3/10=0.3
2*3*2/2*5*3=6*2/10*3=12/30=2/5
10*1/10*3=10/30=1/3
This step can be a lot of trial and error, but as long as you multiply the top (numerator) and bottom(denominator) by the same number for each fraction and have the same bottom (denominator) for all fractions it will work out.
If you separate the two fractions and the decimal from the rest, so that you have 0.3, 1/3 and 2/5, then you need to change them so that the denominators (the bottom number) are the same. So:
3/10 (or 0.3) + 1/3 + 2/5 = 9/30 + 10/30 + 12/30
This makes adding them up easier to do.
Then you just add up the numbers and put the fractions in with them: