Exercise 7.2
Draw number lines and locate the points on them.
(a)
We will divide the portion between
(b)
We will divide the portion between
(c)
We will divide the portion between
Express the following as mixed fractions.
(a)
- Finding the nearest multiple of the denominator(3) to the numerator(20) i.e.
- Rewriting the numerator as a sum: 20 = 18 +
- Splitting the given fraction into two separate fractions:
+ - Simplifying the possible terms.
- Removing the addition sign, we get the desired mixed fraction:
- We have found the answer.
(b)
- Finding the nearest multiple of the denominator(5) to the numerator(11) i.e.
- Rewriting the numerator as a sum: 11 = 10 +
- Splitting the given fraction into two separate fractions:
+ - Simplifying the possible terms.
- Removing the addition sign, we get the desired mixed fraction:
- We have found the answer.
(c)
- Finding the nearest multiple of the denominator(7) to the numerator(17) i.e.
- Rewriting the numerator as a sum: 17 = 14 +
- Splitting the given fraction into two separate fractions:
+ - Simplifying the possible terms.
- Removing the addition sign, we get the desired mixed fraction:
- We have found the answer.
(d)
- Finding the nearest multiple of the denominator(5) to the numerator(28) i.e.
- Rewriting the numerator as a sum: 28 = 25 +
- Splitting the given fraction into two separate fractions:
+ - Simplifying the possible terms.
- Removing the addition sign, we get the desired mixed fraction:
- We have found the answer.
(e)
- Finding the nearest multiple of the denominator(6) to the numerator(19) i.e.
- Rewriting the numerator as a sum: 19 = 18 +
- Splitting the given fraction into two separate fractions:
+ - Simplifying the possible terms
- Removing the addition sign, we get the desired mixed fraction:
- We have found the answer.
(f)
- Finding the nearest multiple of the denominator(9) to the numerator(35) i.e.
- Rewriting the numerator as a sum: 35 = 27 +
- Splitting the given fraction into two separate fractions:
+ - Simplifying the possible terms.
- Removing the addition sign, we get the desired mixed fraction:
- We have found the answer.
Express the following as improper fractions.
(a)7
7
(b)5
5
(c)2
2
(d)10
10
(e)9
9
(f)8
8