The correct option is B 25/24 The LCM of 8 and 12 is 24. 5/8 nbsp;+ 5/12 nbsp; =5×3/8×3 nbsp;+ 5×2/12×2 =15/24+ 10/24 =25/24 ...

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Standard V

Mathematics

Addition of Unlike Fractions

5/8+5/12=

Question

$\frac{5}{8} + \frac{5}{12}$ = ____.

$\frac{10}{24}$

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$\frac{25}{24}$

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$\frac{10}{12}$

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$\frac{17}{24}$

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Solution

The correct option is B
$\frac{25}{24}$

The LCM of 8 and 12 is 24.

$\frac{5}{8} + \frac{5}{12}$ $= \frac{5 \times 3}{8 \times 3} + \frac{5 \times 2}{12 \times 2} = \frac{15}{24} + \frac{10}{24} = \frac{25}{24}$

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Similar questions

Q. Simplify

12^{- 8} \times 5^{- 8}

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

Q. The sum of the series

\frac{3}{4 \cdot 8} - \frac{3 \cdot 5}{4 \cdot 8 \cdot 12} + \frac{3 \cdot 5 \cdot 7}{4 \cdot 8 \cdot 12 \cdot 16} - . . . . . .

Q. Simplify :

\frac{3 \sqrt{2} \times 12 \sqrt{8} \times \sqrt{5}}{3 \sqrt{5} \times 2}

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58+512 = ____.

The correct option is B 2524 The LCM of 8 and 12 is 24. 58+512 =5×38×3+5×212×2=1524+1024=2524

$\frac{5}{8} + \frac{5}{12}$ = ____.

The correct option is B
$\frac{25}{24}$

The LCM of 8 and 12 is 24.

$\frac{5}{8} + \frac{5}{12}$ $= \frac{5 \times 3}{8 \times 3} + \frac{5 \times 2}{12 \times 2} = \frac{15}{24} + \frac{10}{24} = \frac{25}{24}$