can anyone help me tosubtract these fractions?
1. 7/10 – 1/5
and how would u subtractit if there was a whole number???
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If, for example, your fractions were 7/9 and 1/5, you would have to use 45 as your common denominator.
To convert the numerator (the top number) you cross multiply – that is, you multiply the first numerator by the second denominator and multiply the second denominator by the first numerator.
Are you still with me?
Going to the 7/0 and 1/5 example, you would multiply the 7 by 5 and have 35/45 as your new fraction, multiply the 1 by 9 and your second fraction is 9/45.
Now you subtract the smaller numerator from the larger.
That would give 35-9 or 26/45 as your answer.
In the question you posed, 7/10 less 2/10 is 5/10. It is customary to reduce the fraction to its lowest level and 5/10 is another way of saying 1/2
Had there been a whole number involved, you would first convert the irregular number (that’s what you call a number that has a whole number and a fraction in it) into a fraction.
Let’s use your original example, only make it 1 and 7/10 and you are going to subtract 1/5 from it.
There are 10 tenths in the whole number one, so you add the 10/10 to the 7/10 and get 17/10. You convert 1/5 into tenths, just as you did before, so you are now looking at:
17/10 – 2/10.
The answer is 15/10
Again, you convert it back into an irregular number – which will be 1 (10/10) which you subtract from 15 so you are left with 1 5/10 which is equal to 1 1/2.
Okay?
for example 3/8 + 1/8 = (3+1)/8 = 4/8 = 1/2
now if the fractions do not have the same denominators, you must appropriately change it without changing the value of the fraction. if you multiply a number by 1 the number doesn’t change, right? so that’s what we do, but we use a special form of 1 to fit the situation.
in your problem the denominators are 10 and 5. note that if we multiplied 5 by 2 it would be 10 and we could proceed.
so we have the fraction 1/5 and we want to multiply the denominator by 2 so we must also multiply the numerator by 2 in order to not change the value of this fraction. so in effect, we are multiplying 1/5 by 2/2, and 2/2 = 1 so we won’t be changing the value of the fraction
7/10 – (1/5)*(2/2) = 7/10 – 2/10 = (7-2)/10 = 5/10 = 1/2
if a “mixed number” (whole number with fraction) is involved, you can change it to an improper fraction: multiply the denominator by the whole number and add the numerator — this becomes the new numerator and you keep the same denominator. for example,
2 3/7 = (2*7+3)/7 = 17/7
If there was a whole number, reduce it to an eqivalent fraction. For example: 3 – 7/10 = 30/10 – 7/10 =23/10, which converts to 2 3/10.
For whole numbers, remember that any number over itself is equal to 1 (10/10 = 1; 20/10=2; etc.)
1. 7/10 – 2/10
Since 7/10 is grater then 2/10, you can subtract without borrowing from the one.
7/10 – 2/10 = 5/10 = 1/2
The 1 is left so you can just bring it down. Or you can pretend it’s 0. 1/5
The answer is 1. 1/2
If instead there was 1. 1/10, then you would borrow from the one, making the fraction 11/10. [an improper fraction]
In this case, the LCD of 10 and 5 is 10, so:
7/10 – 1/5 = 7/10 – 2/10 = (7 – 2)/10 = 5/10 = 1/2
If you need help getting the LCD, post another question. I’ll answer it there, but I don’t really want to put all of that here if you don’t need it.
7/10-[(1*2)/(5*2)] which becomes 7/10-2/10
Now you can look at this like (7-2)/10 which becomes 5/10
Lastly, you need to simplify
——–
If there was a whole number? you just need to make it into a fraction…so say you had
7/10 – 3….3 is the same thing as 3/1 so you need to multiply your numerator and denominator by 10:
7/10 – [(3*10)/(1*10)] which becomes 7/10-30/10 which becomes -23/10.
Most instructors prefer this to be put into a mixed numeral, so it would be:
-2 3/10
7/10 – 2/10 = 5/10 = 1/2
7/10-1/5 (2/10) =5/10 =1/2
Find the common denominator and then subtract.
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