Operations on Rational Numbers

You are given these rational numbers,
$\frac{1}{3}, 4\frac{1}{6}, \frac{5}{12}, \frac{11}{6}, 1\frac{2}{3}, \frac{1}{4}$

Find two numbers from this group whose quotient is $5$.

You are given these rational numbers,
$\frac{1}{3}, 4\frac{1}{6}, \frac{5}{12}, \frac{11}{6}, 1\frac{2}{3}, \frac{1}{4}$

You are given these rational numbers,
$\frac{1}{3}, 4\frac{1}{6}, \frac{5}{12}, \frac{11}{6}, 1\frac{2}{3}, \frac{1}{4}$

Find two numbers from this group whose difference is $\frac{1}{12}$.

You are given these rational numbers,
$\frac{1}{3}, 4\frac{1}{6}, \frac{5}{12}, \frac{11}{6}, 1\frac{2}{3}, \frac{1}{4}$

Find two numbers from this group whose sum is $6$.

Evaluate: $\frac{-7}{9}-\left(\frac{-2}{5}\right)$

Mr.Thomas and his wife used to go to office on their bike. Then they started using the public transport bus to commute to their workplaces to reduce the consumption of petrol. They were using an average of $15$ L petrol every month. If they used $5\frac{1}{2} L, 7\frac{3}{4} L$ and $6\frac{1}{4} L$ of petrol in the last three consecutive months. Find the average consumption of petrol per month now.

To make one bottle of juice, $\frac{3}{7}$ L of fruit juice content is required. How many bottles of juice can be prepared from a can of $10$ L of fruit juice content. ?​

Pradeep attempts $\frac{9}{10}$ of the total number of questions in an examination. If $\frac{3}{8}$ of the answers were wrong, what fraction of the attempted questions did he answer correctly?

From a sari of length $6\frac{1}{4}$m, Susan cuts $2\frac{3}{4}$ m to stitch a skirt. Find the length of the remaining piece of the sari.

To make a chocolate cake, Sudha requires $1\frac{1}{2}$ kg of maida, $\frac{3}{5}$ kg of sugar and $\frac{1}{20}$ kg of coco powder. Find the weight of the mixture when these three ingredients are mixed together 

Sundara, Devi, Mumtaz and Annie worked on a project. Devi left the group when half of the project was completed. If they were paid $₹70000$ for the project, find the share of each worker

Subtract $\frac{-3}{16}$ from $\frac{1}{4}$.

Subtract $\frac{2}{7}$ from $\frac{5}{14}$.

Ramu is varnishing wooden doors in a hotel. He has to varnish $16$ doors of equal size. He starts with $2\frac{1}{2}$ cans of varnish. After varnishing four doors, he is left with $1\frac{3}{4}$ cans of varnish. Do you think he has enough varnish for the remaining doors?
 

Find the sum of the following rational numbers.

$\frac{3}{7}$ and $\frac{-4}{9}$

Find the sum of the following rational numbers.

$\frac{-9}{20}$ and $\frac{-1}{4}$

Find the sum of the following rational numbers.

$\frac{5}{9}+\left(\frac{-3}{15}\right)+\left(\frac{1}{6}\right)$

Find the sum of the following rational numbers.

$\frac{3}{8}+\left(\frac{-1}{2}\right)+\left(\frac{-3}{4}\right)$

Find the sum of the following rational numbers.

$\left(-7\frac{1}{2}\right)+\left(9\frac{1}{3}\right)$

Find the sum of the following rational numbers.

$\left(-3\frac{1}{4}\right)+\left(-2\frac{1}{8}\right)$