Question
Find the sum:
$3\frac{4}{5}+2\frac{13}{10}+1\frac{1}{15}$
$3\frac{4}{5}+2\frac{13}{10}+1\frac{1}{15}$
✓
Answer
$3\frac{4}{5}+2\frac{13}{10}+1\frac{1}{15}$
$=\frac{19}{5}+\frac{23}{10}+\frac{16}{15}$
LCM of 5, 10, 15 = 30
$\therefore\frac{19}{5}=\frac{15\times6}{5\times6}=\frac{114}{30}$
$\frac{23}{10}=\frac{23\times3}{10\times3}=\frac{69}{30}$
$\frac{16}{15}=\frac{16\times2}{15\times2}=\frac{32}{30}$
$\therefore=\frac{19}{5}+\frac{23}{10}+\frac{16}{15}$
$=\frac{114}{30}+\frac{69}{30}+\frac{32}{30}$
$=\frac{114+69+32}{30}=\frac{215}{30}$
$=\frac{215\div5}{30\div5}=\dfrac{43}{6}7\frac{1}{6}$
$=\frac{19}{5}+\frac{23}{10}+\frac{16}{15}$
LCM of 5, 10, 15 = 30
$\therefore\frac{19}{5}=\frac{15\times6}{5\times6}=\frac{114}{30}$
$\frac{23}{10}=\frac{23\times3}{10\times3}=\frac{69}{30}$
$\frac{16}{15}=\frac{16\times2}{15\times2}=\frac{32}{30}$
$\therefore=\frac{19}{5}+\frac{23}{10}+\frac{16}{15}$
$=\frac{114}{30}+\frac{69}{30}+\frac{32}{30}$
$=\frac{114+69+32}{30}=\frac{215}{30}$
$=\frac{215\div5}{30\div5}=\dfrac{43}{6}7\frac{1}{6}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Discuss the characteristics of various groups of numbers in class and complete the table below. In front of each group, write the inference you make after carrying out the operations of addition, subtraction, multiplication and division, using a (✓) or a (x).
Remember that you cannot divide by zero.
Remember that you cannot divide by zero.
| Group of Numbers | Addition | Subtraction | Multiplication | Division |
| Natural Numbers | ✓ | X (7- 10 =-3) | ✓ | \begin{gathered} x \\ (3 \div 5= \left.\frac{3}{5}\right) \end{gathered} |
| Integers | ||||
| Rational Numbers |
Find the area of a rhombus, the lengths of whose diagonals are:
16cm and 28cm.
16cm and 28cm.
In the given figure, AOB is a straight line and the ray OC stands on it. If $\angle\text{AOC} = (2\text{x} -10)^\circ$ and $\angle\text{BOC} = (3\text{x} + 20)^\circ,$ find the value of x. Also, find $\angle\text{AOC}$ and $\angle\text{BO}.$
→Draw, whenever possible, a rough sketch of:
A triangle with both line and rotational symmetries.
A triangle with both line and rotational symmetries.
Simplify:
$\frac{16}{-21}\times\frac{-14}{5}$
→$\frac{16}{-21}\times\frac{-14}{5}$
The adjacent sides of a parallelogram are 15cm and 8cm. If the distance between the longer sides is 4cm, find the distance between the shorter sides.
The mean of five numbers is 27. If one number is excluded, their mean is 25. Find the excluded number.
If the manufacturer gains 10% the wholesale dealer 15%, and the retailer 25% then what is the productions cost of a washing machine whose retail price is Rs. 37950?
The ages (in years) of 50 players of a school are given below:
Find the mean age.
| Age (in years) | 14 | 15 | 16 | 17 | 18 |
| Number of players | 15 | 14 | 10 | 8 | 3 |
The length of a rectangular field is twice its breadth. If the perimeter of the field is 150 metres, find its length and breadth.