Real Word Problems

Rational numbers are terminating or recurring decimal numbers written in the form of fraction $\frac{a}{b}$ in which 'a' and 'b' are integers and the denominator 'b' not equal to zero. Rational numbers can include operations like addition, subtraction, multiplication and division. Some of the solved examples of word problems with Rational Numbers are given below:

Example 1:
          If Sachin covers $\frac{3}{4}$km distance by foot and then he covers $\frac{11}{3}$km distance by bus while he was going to school. How far is his house from the school?

Distance covered by Sachin by foot = $\frac{3}{4}$km

Distance covered by him by Bus = $\frac{11}{3}$km

Total distance covered to reach school = $\frac{3}{4}$ + $\frac{11}{3}$ = $\frac{9}{12}$ + $\frac{44}{12}$ = $\frac{53}{12}$km

So, the house is 4.42km far from Sachin's school.

Example 2:
          If Shobha has a red ribbon with length $\frac{25}{9}$m and a piece of $\frac{5}{7}$m is cut from it and gave to Seema. Find how much long ribbon is left with her?

Shobha has a ribbon of length = $\frac{25}{9}$m

Part of ribbon given to seema = $\frac{5}{7}$m

So, the length of the ribbon left =$\frac{25}{9}$ - $\frac{5}{7}$ = $\frac{175}{63}$ - $\frac{45}{63}$ = $\frac{130}{63}$m

So, the ribbon left with Shobha is 2.06m

Example 3:
          What should be multiplied with -$\frac{3}{5}$ to make 1?

Let x be the number multiplied with -$\frac{3}{5}$ to get 1. So,

-$\frac{3}{5}$ * x = 1

x= -$\frac{5}{3}$

Example 4:
          If a basket has $\frac{35}{6}$kg of grapes, If is to be distributed among 7 children equally, how much grapes will the each child get?

Total amount of grapes in the basket = $\frac{35}{6}$kg

Number of students to which it is to be distributed equally = 7

So, each child gets grapes = $\frac{35}{6}$ divided by 7 = $\frac{35}{6}$ * $\frac{1}{7}$ = $\frac{5}{6}$kg

So, each child gets 0.83kg of grapes.