Answer to Question #206103 in Algebra for Nonkululeko

Question

Without referring to the fraction chart, write the equivalent fraction for each of the numbers given below.

Write an equivalent fraction for:

a. 1/4 b. 1/2 c. 6/8 d.2/4

e.2/2 f. 2/8 g.8/8 h.4/8

i.4/4

Answer 1

We can obtain equivalent fractions by multiplying and dividing by the same number :-

a) $\frac{1}{4}:\frac{1}{4}×\frac{2}{2}=\frac{2}{8}$

or $\frac{1}{4}×\frac{3}{3}=\frac{3}{12}$

b) $\frac{1}{2}:\frac{1}{2}×\frac{4}{4}=\frac{4}{8}$

$or\frac{4}{8}×\frac{2}{2}=\frac{8}{16}$

c) $\frac{6}{8}:\frac{6}{8}×\frac{3}{3}=\frac{18}{24}$

$or \frac{6}{8}×\frac{2}{2}=\frac{12}{16}$

d) $\frac{2}{4}:\frac{2}{4}×\frac{8}{8}=\frac{16}{32}$

or $\frac{2}{4}×\frac{2}{2}=\frac{4}{8}$

e) $\frac{2}{2}:\frac{2}{2}×\frac{3}{3}=\frac{6}{6}$

$or\frac{2}{2}×\frac{8}{8}=\frac{16}{16}$

f) $\frac{2}{8}:\frac{2}{8}×\frac{2}{2}=\frac{4}{16}$

$or \frac{2}{8}×\frac{3}{3}=\frac{6}{24}$

g)$\frac{8}{8}$ : $\frac{8}{8}×\frac{2}{2}=\frac{16}{16}$

$or\frac{8}{8}×\frac{3}{3}=\frac{24}{24}$

h) $\frac{4}{8}: \frac{4}{8}×\frac{2}{2}=\frac{8}{16}$

$or \frac{4}{8}×\frac{3}{3}=\frac{12}{24}$

i) $\frac{4}{4}: \frac{4}{4}×\frac{2}{2}=\frac{8}{8}$

$or\frac{4}{4}×\frac{3}{3}=\frac{12}{12}$