Express - -1-4- -1-6 - - 1-3- -1-2 -

( 1/4 ( 1/6) ) ÷(1/3 + ( 1/2) ) ⇒( 3/12 + 2/12) ÷( 2/6 3/6) ⇒( 1/12) ÷( 1/6) ⇒ 1/12× 6 ⇒1/2 ...

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Subtraction of Fractions

Express [ -1/...

Question

Express $[\frac{- 1}{4} - (\frac{- 1}{6})] \div [\frac{1}{3} + (\frac{- 1}{2})]$

\frac{2}{3}

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\frac{- 1}{2}

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\frac{- 2}{3}

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\frac{1}{2}

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Solution

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Similar questions

Express each one of the following with rational denominator :

(i) $\frac{1}{3 + \sqrt{2}}$

(ii) $\frac{1}{\sqrt{6} - \sqrt{5}}$

(iii) $\frac{16}{\sqrt{41} - 5}$

(iv) $\frac{30}{5 \sqrt{3} - 3 \sqrt{5}}$

(v) $\frac{1}{2 \sqrt{5} + \sqrt{3}}$

(vi) $\frac{3 \sqrt{3} + 1}{2 \sqrt{2} - \sqrt{3}}$

(vii) $\frac{6 - 4 \sqrt{2}}{6 + 4 \sqrt{2}}$

(viii) $\frac{3 \sqrt{2} + 1}{2 \sqrt{5} - 3}$

(ix) $\frac{b^{2}}{\sqrt{a^{2} + b^{2} + a}}$

1) 6 : 8

2) 21 : 24

3) 33 : 77

4) 25 : 125

5) \frac{2}{3} : \frac{3}{5}

6) \frac{4}{5} : \frac{3}{8}

7) 1 \frac{1}{2} : 4 \frac{1}{2}

8) \frac{1}{3} : 2

\frac{1 + 4.343 + 7.4 + 2.3.49 + 7.343}{16 + 2^{6} . 3^{1} + 2^{5} . 3^{3} + 2^{6} . 3^{3} + 2^{4} . 3^{4}}

= \frac{1}{3 - \sqrt{8}} - \frac{1}{\sqrt{8} - \sqrt{7}} + \frac{1}{\sqrt{7} - \sqrt{6}} - \frac{1}{\sqrt{6} - \sqrt{5}} + \frac{1}{\sqrt{5} - \sqrt{4}}

\frac{(0.3)^{\frac{1}{3}} {(\frac{1}{27})}^{\frac{1}{4}} (9)^{\frac{1}{6}} (0.81)^{\frac{2}{3}}}{(0.9)^{\frac{2}{3}} (3)^{- \frac{1}{2}} {(\frac{1}{3})}^{- 2} (243)^{- \frac{1}{4}}}

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