Find the value of the following- 7 8 - 3 4 - 13 12

Given (78+34)÷1312 78+34=7+68=138 138÷1312=138×1213=128=32 Hence, #160; (78+34)÷1312=32 ...

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Standard VI

Mathematics

Addition of Fractions

Find the valu...

Question

Find the value of the following:
$(\frac{7}{8} + \frac{3}{4}) \div \frac{13}{12}$

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Solution

Given $(\frac{7}{8} + \frac{3}{4}) \div \frac{13}{12}$

$\frac{7}{8} + \frac{3}{4} = \frac{7 + 6}{8} = \frac{13}{8}$

$\frac{13}{8} \div \frac{13}{12} = \frac{13}{8} \times \frac{12}{13} = \frac{12}{8} = \frac{3}{2}$

Hence, $(\frac{7}{8} + \frac{3}{4}) \div \frac{13}{12} = \frac{3}{2}$

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Similar questions

Q. Find the value of the following

\frac{3}{5} + \frac{7}{10} + (\frac{- 8}{12}) + \frac{4}{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) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Find the value of:

(i) $(- 4) \div \frac{2}{3}$

(ii) $\frac{- 3}{5} \div 2$

(iii) $\frac{- 4}{5} \div - 3$

(iv) $\frac{- 1}{8} \div \frac{3}{4}$

(v) $\frac{- 2}{13} \div \frac{1}{7}$

(vi) $\frac{- 7}{12} \div \frac{- 2}{13}$

(vii) $\frac{3}{13} \div \frac{- 4}{65}$

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

Q. Name the property of rational numbers illustrated by the given statement.

\frac{7}{4} \times (\frac{- 8}{3} + \frac{- 13}{12}) = \frac{7}{4} \times \frac{- 8}{3} + \frac{7}{4} \times \frac{- 13}{12}

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Find the value of the following:(78+34)÷1312

Given (78+34)÷131278+34=7+68=138138÷1312=138×1213=128=32Hence, (78+34)÷1312=32

Find the value of the following:
$(\frac{7}{8} + \frac{3}{4}) \div \frac{13}{12}$

Given $(\frac{7}{8} + \frac{3}{4}) \div \frac{13}{12}$

$\frac{7}{8} + \frac{3}{4} = \frac{7 + 6}{8} = \frac{13}{8}$

$\frac{13}{8} \div \frac{13}{12} = \frac{13}{8} \times \frac{12}{13} = \frac{12}{8} = \frac{3}{2}$

Hence, $(\frac{7}{8} + \frac{3}{4}) \div \frac{13}{12} = \frac{3}{2}$