Express the following as mixed fractions:
(a) $ \frac{20}{3} $(b) $ \frac{11}{5} $
(c) $ \frac{17}{7} $
(d) $ \frac{28}{5} $
(e) $ \frac{19}{6} $
(f) $ \frac{35}{9} $
To do :
We have to express the given numbers as mixed fractions.
Solution:
(a) $3)20(6$
$18$
-----------
$2$
-----------
Therefore,
$\frac{20}{3}=\frac{3\times6+2}{3}$
$=6\frac{2}{3}$
(b) $5)11(2$
$10$
-----------
$1$
-----------
Therefore,
$\frac{11}{5}=\frac{5\times2+1}{5}$
$=2\frac{1}{5}$
(c) $7)17(2$
$14$
-----------
$3$
-----------
Therefore,
$\frac{17}{7}=\frac{7\times2+3}{7}$
$=2\frac{3}{7}$
(d) $5)28(5$
$25$
-----------
$3$
-----------
Therefore,
$\frac{28}{5}=\frac{5\times5+3}{5}$
$=5\frac{3}{5}$
(e) $6)19(3$
$18$
-----------
$1$
-----------
Therefore,
$\frac{19}{6}=\frac{6\times3+1}{6}$
$=3\frac{1}{6}$
(f) $9)35(3$
$27$
-----------
$8$
-----------
Therefore,
$\frac{35}{9}=\frac{9\times3+8}{9}$
$=3\frac{8}{9}$
Related Articles
- Express the following as improper fractions:(a) \( 7 \frac{3}{4} \)(b) \( 5 \frac{6}{7} \)(c) \( 2 \frac{5}{6} \)(d) \( 10 \frac{3}{5} \)(e) \( 9 \frac{3}{7} \)(f) \( 8 \frac{4}{9} \)
- Express as mixed fraction:$\frac{17}{7}$ and $\frac{28}{5}$
- Express each of the following as a rational number of the form $\frac{p}{q}$(i) \( -\frac{8}{3}+\frac{-1}{4}+\frac{-11}{6}+\frac{3}{8}-3 \)(ii) \( \frac{6}{7}+1+\frac{-7}{9}+\frac{19}{21}+\frac{-12}{7} \)(iii) \( \frac{15}{2}+\frac{9}{8}+\frac{-11}{3}+6+\frac{-7}{6} \)(iv) \( \frac{-7}{4}+0+\frac{-9}{5}+\frac{19}{10}+\frac{11}{14} \)(v) \( \frac{-7}{4}+\frac{5}{3}+\frac{-1}{2}+\frac{-5}{6}+2 \)
- Write the following fractions as mixed fractions and arrange them in ascending order:$\frac{11}{8} , \frac{17}{12}, \frac{5}{3}, \frac{8}{6} $
- Which of the following are like fractions $\frac{6}{17}, \frac{18}{7}, \frac{17}{9}, \frac{7}{17}, \frac{21}{19}, \frac{32}{17}, \frac{12}{17}$.
- Express the following as mixed numbers.a)$\frac{35}{4}$b) $ \frac{71}{5}$c) $ \frac{93}{4} $
- 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) \( \frac{5}{3}+\frac{3}{-2}+\frac{-7}{3}+3 \)
- 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) \( \frac{1}{8}+\frac{5}{12}+\frac{2}{7}+\frac{7}{12}+\frac{9}{7}+\frac{-5}{16} \)
- 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) \( \frac{4}{7}+0+\frac{-8}{9}+\frac{-13}{7}+\frac{17}{21} \)
- Multiply:(i) \( \frac{7}{11} \) by \( \frac{5}{4} \)(ii) \( \frac{5}{7} \) by \( \frac{-3}{4} \)(iii) \( \frac{-2}{9} \) by \( \frac{5}{11} \)(iv) \( \frac{-3}{17} \) by \( \frac{-5}{-4} \)(v) \( \frac{9}{-7} \) by \( \frac{36}{-11} \)(vi) \( \frac{-11}{13} \) by \( \frac{-21}{7} \)(vii)\( -\frac{3}{5} \) by \( -\frac{4}{7} \)(viii) \( -\frac{15}{11} \) by 7
- Compare the fractions and put an appropriate sign.(a) \( \frac{3}{6} \square \frac{5}{6} \)(b) \( \frac{1}{7} \square \frac{1}{4} \)(c) \( \frac{4}{5} \square \frac{5}{5} \)(d) \( \frac{3}{5} \square \frac{3}{7} \)
- Convert the following fractions into like fractions : $\frac{3}{5} , \frac{7}{10}, \frac{8}{5} and \frac{11}{30}$
- Find the product:$(i)$. $\frac{9}{2}\times(-\frac{7}{4})$$(ii)$. $\frac{3}{10}\times(-9)$$(iii)$. $-\frac{6}{5}\times\frac{9}{11}$$(iv)$. $\frac{3}{7}\times(-\frac{2}{5})$$(v)$. $\frac{3}{11}\times\ \frac{2}{5}$$(vi)$. $\frac{3}{-5}\times(-\frac{5}{3})$
- Multiply and express as a mixed fraction:(a) $3\times5\frac{1}{5}$(b) $5\times6\frac{3}{4}$(c) $7\times2\frac{1}{4}$(d) $4\times6\frac{1}{3}$(e) $3\frac{1}{4}\times6$(f) $3\frac{2}{5}\times8$
- Write each of the following as decimals.(a) \( 20+9+\frac{4}{10}+\frac{1}{100} \)(b) \( 137+\frac{5}{100} \)(c) \( \frac{7}{10}+\frac{6}{100}+\frac{4}{1000} \)(d) \( 23+\frac{2}{10}+\frac{6}{1000} \)(e) \( 700+20+5+\frac{9}{100} \)
Kickstart Your Career
Get certified by completing the course
Get Started