Simplify 47-89-137-1721-

We have, 47+( 89)+( 137)+1721 =47 89 137+1721 =(4× 9) (8× 7) (13× 9)+(17× 3)63 =36 56 117+5163 =87 17363 = 8663 = 1.36507 Henc ...

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Byju's Answer

Standard VI

Mathematics

Addition of Fractions

Simplify 47...

Question

Simplify
$\frac{4}{7} - \frac{8}{9} - \frac{13}{7} + \frac{17}{21}$ .

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Solution

We have,
$\frac{4}{7} + (- \frac{8}{9}) + (- \frac{13}{7}) + \frac{17}{21}$
$= \frac{4}{7} - \frac{8}{9} - \frac{13}{7} + \frac{17}{21}$
$= \frac{(4 \times 9) - (8 \times 7) - (13 \times 9) + (17 \times 3)}{63}$
$= \frac{36 - 56 - 117 + 51}{63}$
$= \frac{87 - 173}{63}$
$= \frac{- 86}{63}$
$= - 1.36507$
Hence, this is answer.

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Similar questions

Find

(i) (ii) (iii)

(iv) (v)

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

Q. Simplify

{(\frac{7^{8}}{7^{9}})}^{17} \times {(\frac{7^{9}}{7^{10}})}^{19} \times {(\frac{7^{10}}{7^{8}})}^{18}

Q. Evaluate:

(i) \frac{3}{7} + \frac{- 4}{9} - \frac{- 11}{7} - \frac{7}{9}

(i i) \frac{2}{3} + \frac{- 4}{5} - \frac{1}{3} - \frac{2}{5}

(i i i) \frac{4}{7} - \frac{- 8}{9} - \frac{- 13}{7} + \frac{17}{9}

$(i) \frac{3}{7} + \frac{- 4}{9} - \frac{- 11}{7} - \frac{7}{9} (i i) \frac{2}{3} + \frac{- 4}{5} - \frac{1}{3} - \frac{2}{5} (i i i) \frac{4}{7} - \frac{- 8}{9} - \frac{- 13}{7} + \frac{17}{9}$

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Simplify 47−89−137+1721.

We have,47+(−89)+(−137)+1721=47−89−137+1721=(4×9)−(8×7)−(13×9)+(17×3)63=36−56−117+5163=87−17363=−8663=−1.36507Hence, this is answer.

Simplify
$\frac{4}{7} - \frac{8}{9} - \frac{13}{7} + \frac{17}{21}$ .