Find the value of X-234-3112-116-X

First, we calculate the value of X: X=234+3112 116 =((4× 2)+34)+((12× 3)+112) ((6× 1)+16) =114+3712 76 =11× 34× 3+3712 7× 26× 2 =3312+3712 1412 =33+37 141 ...

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Byju's Answer

Standard VI

Mathematics

Distributivity

Find the valu...

Question

$Find the value of X :$

$2 \frac{3}{4} + 3 \frac{1}{12} - 1 \frac{1}{6} = X$

4 \frac{1}{12}

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4 \frac{1}{3}

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4 \frac{1}{6}

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4 \frac{2}{3}

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Solution

The correct option is D $4 \frac{2}{3}$
$First, we calculate the value of X :$

$X = 2 \frac{3}{4} + 3 \frac{1}{12} - 1 \frac{1}{6}$

$= (\frac{(4 \times 2) + 3}{4}) + (\frac{(12 \times 3) + 1}{12}) - (\frac{(6 \times 1) + 1}{6})$

$= \frac{11}{4} + \frac{37}{12} - \frac{7}{6}$

$= \frac{11 \times 3}{4 \times 3} + \frac{37}{12} - \frac{7 \times 2}{6 \times 2}$

$= \frac{33}{12} + \frac{37}{12} - \frac{14}{12}$

$= \frac{33 + 37 - 14}{12}$

$= \frac{56}{12}$

$= \frac{56 \div 4}{12 \div 4}$

$= \frac{14}{3}$

$Now, 143 can be converted to a mixedfraction using the formula:$

$M i x e d F r a c t i o n = Q u o t i e n t \frac{R e m a i n d e r}{D i v i s o r}$

$⟹ \frac{14}{3} = 4 \frac{2}{3}$

$∴ X = 4 \frac{2}{3}$

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1 \frac{1}{3} + 2 \frac{1}{4} + 3 \frac{1}{6} + 4 \frac{1}{12} + . . . + 19 \frac{2}{3}

is equal to

Explain why 13*12*11*10+12 and 23*29*31*37+37 are composite numbers?

If $Δ ∣ ∣ ∣ ∣ \begin{matrix} a_{11} & a_{12} & a_{13} a_{21} & a_{22} & a_{23} a_{31} & a_{32} & a_{33} \end{matrix} ∣ ∣ ∣ ∣$ and $A_{i j}$ is cofactor of $a_{i j}$ , then value of $Δ$ is given by

a) $a_{11} A_{31} + a_{12} A_{32} + a_{13} A_{33}$
b) $a_{11} A_{11} + a_{12} A_{21} + a_{13} A_{31}$
c) $a_{21} A_{11} + a_{22} A_{12} + a_{23} A_{13}$
d) $a_{11} A_{11} + a_{21} A_{21} + a_{31} A_{31}$

Q. Find the value of the expression.

2 \frac{3}{4} - \frac{5}{8} + (\frac{- 5}{12}) + 1 \frac{1}{6}

Q. Find the shortest distance between the following pairs of lines whose cartesian equations are:
(i)

\frac{x - 1}{2} = \frac{y - 2}{3} = \frac{z - 3}{4} and \frac{x - 2}{3} = \frac{y - 3}{4} = \frac{z - 5}{5}

(ii)

\frac{x - 1}{2} = \frac{y + 1}{3} = z and \frac{x + 1}{3} = \frac{y - 2}{1}; z = 2

(iii)

\frac{x - 1}{- 1} = \frac{y + 2}{1} = \frac{z - 3}{- 2} and \frac{x - 1}{1} = \frac{y + 1}{2} = \frac{z + 1}{- 2}

(iv)

\frac{x - 3}{1} = \frac{y - 5}{- 2} = \frac{z - 7}{1} and \frac{x + 1}{7} = \frac{y + 1}{- 6} = \frac{z + 1}{1}

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Find the value of X: 234+3112−116=X

$Find the value of X :$

$2 \frac{3}{4} + 3 \frac{1}{12} - 1 \frac{1}{6} = X$