Operations on Rational Numbers
Operations on Rational Numbers: Overview
This Topic covers sub-topics such as Addition of Rational Numbers, Operations on Rational Numbers, Multiplication of Rational Numbers, Subtraction of Rational Numbers and, Reciprocal of Rational Numbers
Important Questions on Operations on Rational Numbers
Product of reciprocal of and is . Find the value of
Is division of is possible? Explain
Divide any rational number with non zero rational number.
In the graph below, ‘H’ represents Arun’s home and ‘A’ represents his current position. Points P and Q are $ \frac{27}{125}$km and $ \frac{36}{125}$ km away from his home in the direction of East and North respectively.
Arun is _____ km away from his home.
(Note: Enter your answer in the simplest $ \frac{p}{q}$ form or decimal form.)
In a rock climbing activity, Anita was $ 18\frac{3}{4}$ feet below Vinita and Sarita was $ 37\frac{1}{2}$ feet above Anita. How far is Sarita as compared to Vinita?
A rectangular piece of land measures $ 36\frac{3}{5}$ m by $ 16\frac{2}{3}$ m. Three-fourth of the land is under cultivation.
If $ 114\frac{3}{8}$ bags of fertilizers are required for the cultivation of the crop, the amount of fertilizer required per sq m is _____ bag.
(Express your answer in fraction)
The speed of a motor boat is $ 16\frac{1}{2}$ km/hr and the speed of the river is $ 4\frac{1}{5}$ km/hr. If the boat moves upstream, the time taken to cover a distance of $ 98\frac{2}{5}$ km is _____ hr.
The area of the outermost triangle in the figure below is .The area of each inscribed triangle is the area of its circumscribed triangle.
Area of the region shaded in the figure above is _____ sq unit.
During a musical concert, $ \frac{2}{5}$ of the people were seated while the rest of them were standing. If 300 people were standing, the total number of people who attended the concert was _____.
Mr Subramanium hired a Meru cab from Hassan to Bangalore . At the toll gate, he had to pay &rupee;$ 56\frac{1}{2}$ as toll for entering the city of Bangalore. The distance between the two places is $ 184\frac{1}{5}$ km. The cab driver charged &rupee; 150 per km for the first 6 km, thereafter &rupee; 15 per km. For the entire journey he had to pay &rupee;_____.
(Express your answer in Decimals)
As the altitude increases, the temperature drops by $ 6\frac{1}{2}\text{℃}$ for every $ 1000$ m you climb. If the temperature at sea level is $ 30℃$ , then the temperature at the height of $ 10000$ m is ___$ ℃$ .
A concrete bag of 50$ \frac{1}{2}$ kg is made by mixing cement, sand and small stones. The weight of the mixture of sand and stone is $ \frac{3}{5}\text{th}$ the weight of the bag. If the weight of stones is $ \frac{1}{4}\text{th}$ the weight of the mixture of sand and stones , then the weight of the stones is_____ kg.
Peter filled his car tank with $ 10\frac{3}{4}$litres of petrol which cost him &rupee;$ 814\frac{5}{16}$. But he found that if he travelled from Bangalore to Coorg it would be insufficient. So he decided to buy another $ 8$ litres of petrol at the same cost. The cost of an additional $ 8$ litres of petrol is &rupee;_____.
Sarika went to the market to buy fruits. She bought of apples at the rate of per kg and then of oranges at the rate of per . The total money spent on fruits by Sarika was &rupee;_____.
The recipe of a cake says, it has of its weight as flour, of its weight as sugar, of its weight as butter and the rest cherries and dry fruits. Excluding the dry fruits and cherries, the weight of the ingredients of the cake is _____ of the total weight. (Express your answer as fraction in the simplest form)
