Simplify - 12-57-39-2116-812

1 2 5 7 + 3 9 ÷ 21 16 × 8 12 Applying BODMAS and simplifying , we have 1 2 5 7 + 3 9 × 16 21 × 8 12 = 1 2 5 7 + 32 27× ...

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Byju's Answer

Standard VII

Mathematics

Multiplication of Fractions

Simplify : 1...

Question

Simplify :
$\frac{1}{2} - \frac{5}{7} + \frac{3}{9} \div \frac{21}{16} \times \frac{8}{12}$

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Solution

$\frac{1}{2} - \frac{5}{7} + \frac{3}{9} \div \frac{21}{16} \times \frac{8}{12}$
Applying $B O D M A S$ and simplifying , we have
$\frac{1}{2} - \frac{5}{7} + \frac{3}{9} \times \frac{16}{21} \times \frac{8}{12} = \frac{1}{2} - \frac{5}{7} + \frac{32}{27 \times 7} = \frac{189 + 64}{2 \times 189} - \frac{5}{7} = \frac{253}{2 \times 7 \times 27} - \frac{5}{7} = \frac{253 - 5 \times 2 \times 27}{2 \times 7 \times 27} = \frac{- 17}{378}$

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Similar questions

Q. Simplify the following using properties.

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

Fill in the blanks.

(i) $(\frac{- 3}{17}) + (\frac{- 12}{5}) = (\frac{- 12}{5}) + (. . . . .)$

(ii) $- 9 + \frac{- 21}{8} = (. . . . . .) + (- 9)$

(iii) $(\frac{- 8}{13} + \frac{3}{7}) + (\frac{- 13}{4}) = (. . . . . .) + [\frac{3}{7} + (\frac{- 13}{4})]$

(iv) $- 12 + (\frac{7}{12} + \frac{- 9}{11}) = (- 12 + \frac{7}{12}) + (. . . . .)$

(v) $\frac{19}{- 5} + (\frac{- 3}{11} + \frac{- 7}{8}) = {\frac{19}{- 5} + (. . . . .)} + \frac{- 7}{8}$

(vi) $\frac{- 16}{7} + . . . . . = . . . . . . + \frac{- 16}{7} = \frac{- 16}{7}$

Find the value 37+(-21)-26+15-(-2)+(-9).

Simplify the following

1)11-[7-{5-3(9-(3-6))}]

2)16-[5-2+{7of2-(6÷3×2-1+3)}]

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) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$