3 -4-6-4 -5-12-5 -7-10-

The correct option is C 3 ×4/6 + 4 ×5/12 5 ×7/10 3 × 4/6 + 4 × 5/12 5 × 7/10 ∴4/2+ 5/3 7/2 ∴LCM of 2 × 3 = 6 ∴4 × 3/2 × 3 + 5 × 2/3 × 2 7 × 3/2 × 3 12+ ...

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Byju's Answer

Standard V

Mathematics

LCD Method

3 ×4/6+4 ×5/1...

Question

Simplify: $3 \times \frac{4}{6} + 4 \times \frac{5}{12} - 5 \times \frac{7}{10}$

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Solution

The correct option is C $\frac{1}{6}$
$3 \times \frac{4}{6} + 4 \times \frac{5}{12} - 5 \times \frac{7}{10} = \frac{3 \times 4}{6} + \frac{4 \times 5}{12} - \frac{5 \times 7}{10} = \frac{4}{2} + \frac{5}{3} - \frac{7}{2} LCM of 2 \times 3 is 6 = \frac{4 \times 3}{2 \times 3} + \frac{5 \times 2}{3 \times 2} - \frac{7 \times 3}{2 \times 3} = \frac{12 + 10 - 21}{6} = \frac{22 - 21}{6} = \frac{1}{6}$

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Similar questions

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