Fractions (Mixed operations of addition and subtraction, Fractions with different denominators): Practice Questions

A bottle of water has \( \frac{2}{3} \) litres. If Peter drinks \( \frac{1}{4} \) litres, how much water is left in the bottle?

A tank contained \( 5\frac{1}{6} \text{ L} \) of water. After \( 2\frac{3}{4} \text{ L} \) was used to water flowers and \( 1\frac{2}{3} \text{ L} \) was added from a tap, how much water is in the tank now?

A container is \( \frac{5}{12} \) full of oil. If 3 litres of oil are added, it becomes \( \frac{2}{3} \) full. What is the total capacity of the container in litres?

Calculate the following mixed operation:
\( \frac{5}{6} + \frac{1}{8} - \frac{7}{12} \)

A rope is \( 10 \) metres long. May cuts off \( 2\frac{1}{3} \) metres and Joe cuts off \( 3\frac{5}{6} \) metres. How many metres of the rope are left?

Calculate the following expression:
\( 2\frac{1}{6} - \frac{3}{4} + 1\frac{1}{3} \)

A milk bottle is \( \frac{7}{10} \) full. After pouring out \( \frac{1}{5} \) of a bottle and then adding \( \frac{1}{4} \) of a bottle, what fraction of the bottle is now full?

Three bags of rice have a total weight of \( 15 \) kg. Bag A weighs \( 4\frac{5}{8} \) kg and Bag B weighs \( 5\frac{1}{6} \) kg. What is the weight of Bag C in kg?

Mrs. Chan bought a bottle of fruit juice. Her son drank \(\frac{1}{4}\) of the juice, and her daughter drank \(\frac{1}{3}\) of the same bottle.

(a) What fraction of the bottle of juice did they drink in total?
(b) What fraction of the juice was left in the bottle?

There are three containers of paint. Container A contains \( 1\frac{3}{4} \) litres of blue paint. Container B contains \( \frac{2}{3} \) litres less paint than Container A. Container C contains \( 1\frac{5}{12} \) litres more paint than Container B.

a. How many litres of paint are in Container B?
b. What is the total volume of paint in all three containers in litres?