Work out the following simplify your answer where possible- a 7 -98 - b 14 -79 - c 24 -1213 - d 4 -34 - e 18 -910 - f 27 -34 -

(a) 7÷98=7×89=569 (b) 14÷79=14×97=18 (c) 24÷1213=24×1312=26 (d) 4÷34=4×43=163 (e) 18÷910=18×109=20 (h) 27÷34=27×43=36 . ...

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Standard VI

Mathematics

Word Problems

Work out the ...

Question

Work out the following simplify your answer where possible.
$a) 7 \div \frac{9}{8} =___$
$b) 14 \div \frac{7}{9} =_$
$c) 24 \div \frac{12}{13} =_$
$d) 4 \div \frac{3}{4} =_$
$e) 18 \div \frac{9}{10} =_$
$f) 27 \div \frac{3}{4} =___$

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Solution

(a) $7 \div \frac{9}{8} = 7 \times \frac{8}{9} = \frac{56}{9}$

(b) $14 \div \frac{7}{9} = 14 \times \frac{9}{7} = 18$

(c) $24 \div \frac{12}{13} = 24 \times \frac{13}{12} = 26$

(d) $4 \div \frac{3}{4} = 4 \times \frac{4}{3} = \frac{16}{3}$

(e) $18 \div \frac{9}{10} = 18 \times \frac{10}{9} = 20$

(h) $27 \div \frac{3}{4} = 27 \times \frac{4}{3} = 36$ .

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Similar questions

Q. Work out the following. Simplify your answers where possible.
a)

7 + \frac{7}{8} =____________________

14 + \frac{7}{9} =____________________

Q. Simplify the following :
i)

4 + [- 9 + {¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 7 + 3 - 8 - 9}]

ii)

14 [- 24 \div {- 8 + 2} - 3 (- 7 + 3)]

Verify each of the following :

(i) $\frac{3}{7} \times \frac{- 5}{9} = \frac{- 5}{9} \times \frac{3}{7}$

(ii) $\frac{- 8}{7} \times \frac{13}{9} = \frac{13}{9} \times \frac{- 8}{7}$

(iii) $\frac{- 12}{5} \times \frac{7}{- 36} = \frac{7}{- 36} \times \frac{- 12}{5}$

(iv) $- 8 \times \frac{- 13}{12} = \frac{- 13}{12} \times (- 8)$

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

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) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

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Work out the following simplify your answer where possible.a)7÷98=_____b)14÷79=_____c)24÷1213=_____d)4÷34=_____e)18÷910=_____f)27÷34=_____

(a) 7÷98=7×89=569(b) 14÷79=14×97=18(c) 24÷1213=24×1312=26(d) 4÷34=4×43=163(e) 18÷910=18×109=20(h) 27÷34=27×43=36.

Work out the following simplify your answer where possible.
$a) 7 \div \frac{9}{8} =___$
$b) 14 \div \frac{7}{9} =_$
$c) 24 \div \frac{12}{13} =_$
$d) 4 \div \frac{3}{4} =_$
$e) 18 \div \frac{9}{10} =_$
$f) 27 \div \frac{3}{4} =___$