Question
Find the sum:
$3+1\frac{4}{15}+1\frac{3}{20}$
$3+1\frac{4}{15}+1\frac{3}{20}$
✓
Answer
We have,
L.C.M. of 15 and 20 = (2 × 2 × 3 × 5) = 60
$\begin{array}{c|c}5&15,20\\\hline3&3,4\ \ \ \ \\\hline2&1,4\ \ \ \ \\\hline2&1,2\ \ \ \ \ \\\hline&1,1\ \ \ \ \ \end{array} $
Therefore,
$3+1\frac{4}{15}+1\frac{3}{20}$
$=\frac{3}{1}+\frac{19}{15}+\frac{23}{20}$
$=\frac{(180+76+69)}{60}$
$\Big(\frac{60}{1}=60,60\times3=180\Big)$
$\Big(\frac{60}{15}=4,4\times19=76\Big)$
and $\Big(\frac{60}{20}=3,3\times23=69\Big)$
$=\frac{325}{60}$
$=\frac{65}{12}$
$=5\frac{5}{12}$
L.C.M. of 15 and 20 = (2 × 2 × 3 × 5) = 60
$\begin{array}{c|c}5&15,20\\\hline3&3,4\ \ \ \ \\\hline2&1,4\ \ \ \ \\\hline2&1,2\ \ \ \ \ \\\hline&1,1\ \ \ \ \ \end{array} $
Therefore,
$3+1\frac{4}{15}+1\frac{3}{20}$
$=\frac{3}{1}+\frac{19}{15}+\frac{23}{20}$
$=\frac{(180+76+69)}{60}$
$\Big(\frac{60}{1}=60,60\times3=180\Big)$
$\Big(\frac{60}{15}=4,4\times19=76\Big)$
and $\Big(\frac{60}{20}=3,3\times23=69\Big)$
$=\frac{325}{60}$
$=\frac{65}{12}$
$=5\frac{5}{12}$
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
Mark two points, A and B on a piece of paper and join them. Measure this length. Draw a line segment CD that is:
Three times AB.
Three times AB.
The sum of two consecutive even numbers is 74. Find the numbers.
The cost price and selling price are given in the following table. Find out whether there was a profit or a loss and how much it was.
| Ex. | Cost price (in Rs) | Selling price (in Rs) | Profit or Loss | How much? |
| i. | 4500 | 5000 | ||
| ii. | 4100 | 4090 | ||
| iii. | 700 | 799 | ||
| iv. | 1000 | 920 |
Find the value of x in the following proportions:
51 : 85 :: 57 : x
51 : 85 :: 57 : x
In the following numbers. replace * by the smallest number to make it divisible by 11:
9 × 8071
9 × 8071
Using only a ruler, draw an acute angle, a right angle and an obtuse angle in your notebook and name them.
A magic square is an array of numbers having the same number of rows and columns and the sum of numbers in each row, column or diagonal being the same. Fill in the blank cells of the following magic square:
Find the other three proportions involving terms the following:
12 : 18 = 14 : 21
12 : 18 = 14 : 21
Mark two points, A and B on a piece of paper and join them. Measure this length. Draw a line segment CD that is:
Half AB.
Half AB.
As shown in the figure, Avinash is standing near his house. He can choose from two roads to go to school. Which way is shorter? Explain why.
