Simplify- 1 3 - 3 4 2 5 - 1 3 1 2 3 of 3 4 - 1 4 of 4 5

The correct option is D 2363 Given #160; #160; 13+34(25 13)123 of 34 14 of 45 123 of 34=53×34=54 14 of 45=14×45=15 #160; =13+34(25 ...

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Byju's Answer

Standard VI

Mathematics

Addition of Fractions

Simplify: 1...

Question

Simplify: $\frac{\frac{1}{3} + \frac{3}{4} (\frac{2}{5} - \frac{1}{3})}{1 \frac{2}{3} o f \frac{3}{4} - \frac{1}{4} o f \frac{4}{5}}$

\frac{1}{63}

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\frac{23}{40}

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\frac{23}{55}

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\frac{23}{63}

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Solution

The correct option is D $\frac{23}{63}$
Given $\frac{\frac{1}{3} + \frac{3}{4} (\frac{2}{5} - \frac{1}{3})}{1 \frac{2}{3} o f \frac{3}{4} - \frac{1}{4} o f \frac{4}{5}}$

$1 \frac{2}{3} o f \frac{3}{4} = \frac{5}{3} \times \frac{3}{4} = \frac{5}{4}$

$\frac{1}{4} o f \frac{4}{5} = \frac{1}{4} \times \frac{4}{5} = \frac{1}{5}$

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

$= \frac{\frac{1}{3} + \frac{3}{4} (\frac{1}{15})}{\frac{5}{4} - \frac{1}{5}}$

$= \frac{\frac{1}{3} + \frac{1}{20}}{\frac{5}{4} - \frac{1}{5}}$

$= \frac{\frac{20 + 3}{60}}{\frac{25 - 4}{20}}$

$= \frac{\frac{23}{60}}{\frac{21}{20}}$

$= \frac{23}{60} \times \frac{20}{21}$

$= \frac{23}{63}$

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Similar questions

\frac{\frac{1}{3} + \frac{1}{4} [\frac{2}{5} - \frac{1}{2}]}{\frac{2}{3} o f \frac{3}{4} - \frac{3}{4} o f \frac{4}{5}}

= ?

Q. Solve:-

{(\frac{1}{2})}^{3} + {(\frac{1}{3})}^{3} - {(\frac{5}{6})}^{3}

Simplify:

(1) $2 + (- 4) - (+ 3)$

(2) $- 5 + 4 - (- 2)$

(3) $10 + (- 5) - (- 4)$

(4) $12 - (+ 6) + (- 3)$

(5) $- 15 + (- 4) - (+ 3)$

Q. Simplify:

{(\frac{1}{2})}^{3} \times {(\frac{- 3}{2})}^{3} \times {(\frac{3}{2})}^{3}

Factorise :

$(i) a^{2} - 23 a + 42. (i i) a^{2} - 23 a - 108 (i i i) 1 - 18 x - 63 x^{2} (i v) 5 x^{2} - 4 x y - 12 y^{2} (v) x (3 x + 14) + 8 (v i) 5 - 4 x (1 + 3 x) (v i i) x^{2} y^{2} - 3 x y - 40 (v i i i) (3 x - 2 y)^{2} - 5 (3 x - 2 y) - 24 (i x) 12 (a + b)^{2} - (a + b) - 35$

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Simplify: 13+34(25−13)123of34−14of45

The correct option is D 2363Given 13+34(25−13)123 of 34−14 of 45123 of 34=53×34=5414 of 45=14×45=15=13+34(25−13)54−15=13+34(115)54−15=13+12054−15=20+36025−420=23602120=2360×2021=2363

Simplify: $\frac{\frac{1}{3} + \frac{3}{4} (\frac{2}{5} - \frac{1}{3})}{1 \frac{2}{3} o f \frac{3}{4} - \frac{1}{4} o f \frac{4}{5}}$