What is the value of 111 frac{1}{2} + 111 fra | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The expression is $111 \frac{1}{2} + 111 \frac{1}{6} + 111 \frac{1}{12} + 111 \frac{1}{20} + 111 \frac{1}{30}$.Since there are $5$ terms,we can wr

Vedclass · Accepted Answer

$555 \frac{5}{6}$

Vedclass · Answer

(C) The expression is $111 \frac{1}{2} + 111 \frac{1}{6} + 111 \frac{1}{12} + 111 \frac{1}{20} + 111 \frac{1}{30}$.Since there are $5$ terms,we can write this as $(111 	imes 5) + (\frac{1}{2} + \frac{1}{6} + \frac{1}{12} + \frac{1}{20} + \frac{1}{30})$.$111 	imes 5 = 555$.Now,simplify the sum of fractions: $\frac{1}{1 	imes 2} + \frac{1}{2 	imes 3} + \frac{1}{3 	imes 4} + \frac{1}{4 	imes 5} + \frac{1}{5 	imes 6}$.Using the formula $\frac{1}{n(n+1)} = \frac{1}{n} - \frac{1}{n+1}$,we get:$(1 - \frac{1}{2}) + (\frac{1}{2} - \frac{1}{3}) + (\frac{1}{3} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{6})$.This simplifies to $1 - \frac{1}{6} = \frac{5}{6}$.Adding the integer part,we get $555 + \frac{5}{6} = 555 \frac{5}{6}$.

What is the value of $111 \frac{1}{2} + 111 \frac{1}{6} + 111 \frac{1}{12} + 111 \frac{1}{20} + 111 \frac{1}{30}$?

Similar Questions

Determine the value of $x$. If $x = \frac{(943 + 864)^{2} - (943 - 864)^{2}}{(1886 \times 1728)}$

Which of the following statement$(s)$ is/are $TRUE$?
$I.$ $\frac{2}{3 \sqrt{5}} < \frac{3}{2 \sqrt{5}} < \frac{5}{4 \sqrt{3}}$
$II.$ $\frac{3}{2 \sqrt{5}} < \frac{2}{3 \sqrt{3}} < \frac{7}{4 \sqrt{5}}$

In a pair of fractions,fraction $A$ is twice the fraction $B$ and the product of the two fractions is $\frac{2}{25}.$ What is the value of fraction $A$?

If $3x + \frac{3}{x} = 1$,then $x^{3} + \frac{1}{x^{3}} + 1$ is

$A$ sum of $Rs. 1360$ has been divided among $A, B$ and $C$ such that $A$ gets $\frac{2}{3}$ of what $B$ gets and $B$ gets $\frac{1}{4}$ of what $C$ gets. $B$'s share is (in $Rs.$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module