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Chapter 7: Fractions > Exercise 7.2

Exercise 7.2

Draw number lines and locate the points on them.

(a) 12,14,34,44

We will divide the portion between to into equal parts.

(b) 18,28,38,78

We will divide the portion between to into equal parts.

(c) 25,35,85,45

We will divide the portion between to 2 into equal parts.

Express the following as mixed fractions.

(a) 203

203

  • 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) 115

115

  • 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) 177

177

  • 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) 285

285

  • 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) 196

196

  • 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) 359

359

  • 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 34

734 = 7×4+34 =

(b)5 67

5 67 = 5×7+67 =

(c)2 56

2 56 = 2×6+56 =

(d)10 35

10 35 = 10×5+35 =

(e)9 37

9 37 = 9×7+37 =

(f)8 49

8 49 = 8×9+49 =