CHAPTER-2 FRACTIONS AND DECIMALS (SET-3)

Questions in this test

1. The expression $\left[[\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+_{_{_{_{ }}}}........\ +\frac{1}{n\left(n+1\right)}\right]$ for a natural number is
2. The value of $\left[1+\frac{1}{1\times 2}+\frac{1}{1\times 2\times 4}+\frac{1}{1\times 2\times 4\times 8}+\frac{1}{1\times 2\times 4\times 8\times 16}\right]$ upto 4 places of decimal is
3. Find the value of $\left[1-\frac{1}{2^2}\right]\left[1-\frac{1}{3^2}\right]\left[1-\frac{1}{4^2}\right]\left[1-\frac{1}{5^2}\right]\left[1-\frac{1}{9^2}\right]\left[1-\frac{1}{10^2}\right]$
4. What would be the reciprocal of the sum of reciprocals of the numbers $\frac{3}{5}$ and $\frac{7}{3}$ ?
5. What is the value of $x$ in $1+\frac{1}{1+\frac{1}{1+\frac{1}{x}}}=\frac{11}{7}$
6. $\frac{4}{15}$ of $\frac{5}{7}$ a number is greater than $\frac{4}{9}$ of $\frac{2}{5}$ the same number by 8. What is half of the number?
7. What is the missing figure of the expression given below? $\frac{16}{7}\times \frac{16}{7}-\frac{\square }{7}\times \frac{9}{7}+\frac{9}{7}\times \frac{9}{7}=1$
8. The GCD of $\frac{3}{16},\frac{5}{12},\frac{7}{18}$ is
9. Suppose $a=\frac{2b}{3},\ b=\frac{2c}{3},\ c=\frac{2d}{3}$ and, then what would be the value of b as a fraction of d?
10. Simplify $\frac{2\frac{3}{4}}{1\frac{5}{6}}\div \frac{7}{8}\times \left[\frac{1}{3}+\frac{1}{4}\right]+\frac{5}{7}\div \frac{3}{4} of \frac{3}{7}$