Find the reciprocal of each of the following fractions.
(i) $\frac{5}{8}$
(ii) $\frac{8}{7}$
(iii) $\frac{13}{7}$
(iv) $\frac{3}{4}$
Given :
The given fractions are $\frac{5}{8}, \frac{8}{7}, \frac{13}{7}, \frac{3}{4}$
To do :
We have to find the reciprocal of the given fractions.
Solution :
Reciprocal of the fraction $\frac{a}{b} = \frac{b}{a}$
(i) $\frac{5}{8}$
Reciprocal of the fraction $\frac{5}{8}$ is $\frac{8}{5}$
(ii) $\frac{8}{7}$
Reciprocal of the fraction $\frac{8}{7}$ is $\frac{7}{8}$
(iii) $\frac{13}{7}$
Reciprocal of the fraction $\frac{13}{7}$ is $\frac{7}{13}$
(iv) $\frac{3}{4}$
Reciprocal of the fraction $\frac{3}{4}$ is $\frac{4}{3}$
Related Articles
- Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers.(i) $\frac{3}{7}$(ii) $\frac{5}{8}$(iii) $\frac{9}{7}$(iv) $\frac{6}{5}$(v) $\frac{12}{7}$(vi) $\frac{1}{8}$(vii) $\frac{1}{11}$
- Find the reciprocal of :i) $\frac{2}{-5} \times \frac{3}{-7}$ii) $\frac{-4}{3} \times \frac{-5}{-8}$
- The reciprocal of $( \frac{5}{7})^{-1}$ is:-$( i).\ \frac{5}{7}$$( ii).\ \frac{-5}{7}$$( iii).\ \frac{7}{5}$$( iv).\ \frac{-7}{5}$
- Re-arrange suitably and find the sum in each of the following:(i) \( \frac{11}{12}+\frac{-17}{3}+\frac{11}{2}+\frac{-25}{2} \)(ii) \( \frac{-6}{7}+\frac{-5}{6}+\frac{-4}{9}+\frac{-15}{7} \)(iii) \( \frac{3}{5}+\frac{7}{3}+\frac{9}{5}+\frac{-13}{15}+\frac{-7}{3} \)(iv) \( \frac{4}{13}+\frac{-5}{8}+\frac{-8}{13}+\frac{9}{13} \)(v) \( \frac{2}{3}+\frac{-4}{5}+\frac{1}{3}+\frac{2}{5} \)(vi) \( \frac{1}{8}+\frac{5}{12}+\frac{2}{7}+\frac{7}{12}+\frac{9}{7}+\frac{-5}{16} \)
- Evaluate each of the following:(i) \( \frac{2}{3}-\frac{3}{5} \)(ii) \( \frac{-4}{7}-\frac{2}{-3} \)(iii) \( \frac{4}{7}-\frac{-5}{-7} \)(iv) \( -2-\frac{5}{9} \)(v) \( \frac{-3}{-8}-\frac{-2}{7} \)(vi) \( \frac{-4}{13}-\frac{-5}{26} \)(vii) \( \frac{-5}{14}-\frac{-2}{7} \).(viii) \( \frac{13}{15}-\frac{12}{25} \)(ix) \( \frac{-6}{13}-\frac{-7}{13} \)(x) \( \frac{7}{24}-\frac{19}{36} \)(xi) \( \frac{5}{63}-\frac{-8}{21} \)
- Add the following rational numbers:(i) \( \frac{-5}{7} \) and \( \frac{3}{7} \)(ii) \( \frac{-15}{4} \) and \( \frac{7}{4} \)(iii) \( \frac{-8}{11} \) and \( \frac{-4}{11} \)(iv) \( \frac{6}{13} \) and \( \frac{-9}{13} \)
- Subtract the first rational number from the second in each of the following:(i) \( \frac{3}{8}, \frac{5}{8} \)(ii) \( \frac{-7}{9}, \frac{4}{9} \)(iii) \( \frac{-2}{11}, \frac{-9}{11} \)(iv) \( \frac{11}{13}, \frac{-4}{13} \)(v) \( \frac{1}{4}, \frac{-3}{8} \)(vi) \( \frac{-2}{3}, \frac{5}{6} \)(vii) \( \frac{-6}{7}, \frac{-13}{14} \)(viii) \( \frac{-8}{33}, \frac{-7}{22} \)
- Simplify each of the following and write as a rational number of the form:(i) \( \frac{3}{4}+\frac{5}{6}+\frac{-7}{8} \)(ii) \( \frac{2}{3}+\frac{-5}{6}+\frac{-7}{9} \)(iii) \( \frac{-11}{2}+\frac{7}{6}+\frac{-5}{8} \)(iv) \( \frac{-4}{5}+\frac{-7}{10}+\frac{-8}{15} \)(v) \( \frac{-9}{10}+\frac{22}{15}+\frac{13}{-20} \)(vi) \( \frac{5}{3}+\frac{3}{-2}+\frac{-7}{3}+3 \)
- Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:(i) \( \frac{2}{5}+\frac{7}{3}+\frac{-4}{5}+\frac{-1}{3} \)(ii) \( \frac{3}{7}+\frac{-4}{9}+\frac{-11}{7}+\frac{7}{9} \)(iii) \( \frac{2}{5}+\frac{8}{3}+\frac{-11}{15}+\frac{4}{5}+\frac{-2}{3} \)(iv) \( \frac{4}{7}+0+\frac{-8}{9}+\frac{-13}{7}+\frac{17}{21} \)
- Draw the number line and represent the following rational numbers on it:$(i)$. $\frac{3}{4}$$(ii)$. $\frac{-5}{8}$$(iii)$. $\frac{-7}{4}$$(iv)$. $\frac{7}{8}$
- Find the value of:$(i)$. $(-4)\div\frac{2}{3}$$(ii)$. $-\frac{3}{5}\div2$$(iii)$. $-\frac{4}{5}\div(-3)$$(iv)$. $-\frac{1}{8}\div\frac{3}{4}$$(v)$. $-\frac{2}{13}\div\frac{1}{7}$$(vi)$. $-\frac{7}{12}\div(-\frac{2}{13})$$(vii)$. $\frac{3}{13}\div(-\frac{4}{65})$
- Find the multiplicative inverse of the following.(i) \( -13 \)(ii) \( \frac{-13}{19} \)(iii) \( \frac{1}{5} \)(iv) \( \frac{-5}{8} \times \frac{-3}{7} \)(v) \( -1 \times \frac{-2}{5} \)(vi) \( -1 \).
- Find:(i) $12\div\frac{3}{4}$(ii) $14\div\frac{5}{6}$(iii) $8\div\frac{7}{3}$(iv) $4\div\frac{8}{3}$(v) $3\div2\frac{1}{3}$(vi) $5\div3\frac{4}{7}$
- Solve:(i) $3-\frac{2}{5}$(ii) $4+\frac{7}{8}$(iii) $\frac{3}{5}+\frac{2}{7}$(iv) $\frac{9}{11}-\frac{4}{15}$(v) $\frac{7}{10}+\frac{2}{5}+\frac{3}{2}$(vi) $2\frac{2}{3}+3\frac{1}{2}$(vii) $8\frac{1}{2}-3\frac{5}{8}$
- Find the cube of:(i) \( \frac{7}{9} \)(ii) \( \frac{-8}{11} \)(iii) \( \frac{12}{7} \)(iv) \( \frac{-13}{8} \)(v) \( 2 \frac{2}{5} \)(vi) \( 3 \frac{1}{4} \)(vii) \( 0.3 \)(viii) \( 1.5 \)(ix) \( 0.08 \)(x) \( 2.1 \)
Kickstart Your Career
Get certified by completing the course
Get Started