Hey everyone! Today in class we were given questions from the textbook. I had to do question 6 from 2.3.
First you find the common denominator. Sometimes when you multiply both denominators you can find the common denominator, but that doesn't always work because you want the least common denominator. For example, in questions b), d), and e) If you multiplied both the denominators, the denominator would be a big number. So you have to find the least common multiple.
The next step is, whatever you do to the bottom (denominator), you do to the top (numerator).
*Refer to a) Think how many times does 3 go into 12? 4 times, so you have to multiply both the numerator and denominator by 4. (2 x 4 = 8) Also with the other fraction (3/4), you find how many times does 4 go into 12? 3 times, so you multiply the denominator and numerator by 3.
Then after you changed the fractions which are now equivalent fractions, (still referring to a) you minus (or add, depending on the question) the numerators. (8-9= -1) and keep the denominator the same.
In question e) there are mixed fractions. One way to change mixed fractions into improper fractions is by, multiplying the denominator by the whole number and adding the numerator to get the NEW numerator. Keep the denominator the same.
In question f) you can just take the whole numbers and fractions and separate them. First you do the whole numbers 1 + (-1) = 0. Then you do the fractions like you would normally do it.
Sorry if this doesn't really make sense, I tried to explain it. And sorry for lack of colours, it doesn't work.