Exercise 5C
Question 1
1. Add or Subtract:
(i) $\frac{1}{5}+\frac{2}{5}$
(ii) $\frac{3}{11}+\frac{4}{11}$
(iii) $\frac{1}{16}+\frac{7}{16}$
(iv) $\frac{15}{23}-\frac{9}{23}$
(v) $\frac{10}{37}+\frac{19}{37}$
(vi) $\frac{21}{43}-\frac{19}{43}$
(vii) $1-\frac{9}{10}$
(viii) $\frac{26}{75}-\frac{24}{75}$
(ix) $\frac{200}{517}+\frac{317}{517}$
(x) $\frac{1}{19}+\frac{5}{19}+\frac{10}{19}$
(xi) $\frac{11}{25}+\frac{2}{25}+\frac{7}{25}$
2. (i) $2 \frac{1}{5}+1 \frac{3}{5}$
(ii) $9 \frac{9}{14}-5 \frac{3}{14}$
(iii) $37 \frac{13}{18}-24 \frac{7}{18}$
(iv) $101 \frac{11}{31}+99 \frac{10}{31}$
Question 2
2. (i) $2 \frac{1}{5}+1 \frac{3}{5}$
(ii) $9 \frac{9}{14}-5 \frac{3}{14}$
(iii) $37 \frac{13}{18}-24 \frac{7}{18}$
(iv) $101 \frac{11}{31}+99 \frac{10}{31}$
3. Solve the following.
(i) $\frac{1}{7}+\frac{3}{14}$
(ii) $\frac{1}{6}+\frac{5}{12}$
(iii) $\frac{1}{6}+\frac{7}{9}$
(iv) $\frac{5}{6}+\frac{3}{4}$
(v) $\frac{7}{8}-\frac{2}{3}$
(vi) $\frac{7}{12}-\frac{1}{4}$
(vii) $\frac{5}{14}-\frac{5}{21}$
(viii) $\frac{7}{12}-\frac{1}{2}$
4. Simplify:
(i) $7 \frac{1}{12}+3 \frac{1}{3}$
(ii) $17 \frac{1}{6}+12 \frac{1}{4}$
(iii) $8 \frac{5}{6}-2 \frac{3}{4}$
(iv) $36 \frac{5}{8}-24 \frac{5}{12}$
5. Simplify:
(i) $\frac{7}{10}+\frac{8}{9}+\frac{16}{15}$
(ii) $\left(\frac{1}{8}+\frac{3}{10}\right)-\frac{1}{4}$
(iii) $\frac{17}{12}-\left(\frac{1}{6}+\frac{5}{18}\right)$
6. Simplify:
(i) $7 \frac{2}{3}+1 \frac{5}{9}+4 \frac{7}{12}$
(ii) $3 \frac{7}{10}+9 \frac{21}{100}+1 \frac{3}{5}$
(iii) $6 \frac{3}{4}-4 \frac{2}{3}+1 \frac{7}{12}$
(iv) $7+5 \frac{1}{8}-3 \frac{1}{4}$
7. Of $5 \frac{2}{3}$ and $3 \frac{3}{4}$, which is greater and by how much?
8. What should be added to $8 \frac{3}{7}$ to get $11 \frac{11}{14}$ ?
9. What must be subtracted from $5 \frac{1}{6}$ to get $2 \frac{11}{18}$ ?
Multiple Choice Questions (MCQs)
Tick (✔) the correct option.
10. Which expression does not have a sum of $6 \frac{3}{10}$ ?
(a) $1 \frac{1}{20}+5 \frac{1}{4}$
(b) $3 \frac{1}{5}+3 \frac{1}{10}$
(c) $3 \frac{2}{5}+3 \frac{1}{15}$
(d) $4 \frac{3}{20}+2 \frac{3}{20}$
11. What fraction should be filled in the blank circle given in the adjacent figure, so that the sum of fractions on each-side of the triangle is same?
<image to be added>
(a) $\frac{7}{13}$
(b) $\frac{2}{13}$
(c) $\frac{5}{13}$
(d) $\frac{6}{13}$
12. Priya is baking a cake for which she requires $\frac{3}{4}$ cup of sugar and nuts. If she has $\frac{2}{5}$ cup of this mixture, how much more does she need?
(a) $\frac{7}{20}$
(b) $\frac{1}{5}$
(c) $\frac{9}{20}$
(d) $\frac{1}{4}$
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