Match the column

Column I	Column II
a. The equivalent rational number of $\frac{5}{7}$, whose numerator is $35$, is	(i) $\frac{21}{8}$
b. Rational number$\frac{57}{1140}$ is equivalent to	(ii) $\frac{104}{21}$
c. If $a=\frac{1}{4}$ and $b=\frac{3}{2}$, then $\left(a+b\right)+\left(a-b\right)$ is equal to	(iii) $\frac{-7}{6}$
d. The reciprocal of$\frac{-3}{8}\times \left(\frac{-7}{13}\right)$ is	(iv) $\frac{-15}{4}$
e. The multiplicative inverse of $-1\frac{1}{7}$ is	(v) $\frac{35}{49}$
f. To get the product $1$, we should multiply $\frac{8}{21}$ by	(vi) $\frac{1}{20}$
g. The reciprocal of$\frac{3}{5}\times \left(\frac{-4}{9}\right)$ is	(vii) $\frac{1}{2}$

 

The rational number whose numerator is the smallest $3$ digit number and denominator is the largest $4$ digit number is _____.

When $\frac{-192}{108}$ is written as a rational number with numerator $-48$, then the denominator is _____.

If $x=\frac{2}{3}$ and $y=\frac{-6}{7}$, then $xy-\frac{y}{x}=$  _____.

_____$\times \left(\frac{-5}{11}\right) =\left(\frac{-5}{11}\right)\times \left(\frac{-8}{15}\right)$ .

If $\left(\frac{-2}{5}+\frac{7}{10}\right)+\left(\frac{-3}{4}\right) =$$k+ \left[\frac{-3}{4}+\left(\frac{-2}{5}\right)\right]$, then $10k=$_____.

$x$ should be added to $y$ to get $z$. Find the value of missing variable. If

$y=\frac{9}{4}, z=\frac{-5}{12}$

$x$ should be added to $y$ to get $z$. Find the value of missing variable in the following.

$x=\frac{-7}{13}, y=\frac{-3}{7}$

$x$ should be added to $y$ to get $z$. Find the value of missing variable in the following.

$x=\frac{7}{8}, z=\frac{4}{18}$