Find the sum: 27 10 +38 15 - Vidyadip

Question

Find the sum: $2\frac{7}{10}+3\frac{8}{15}$

✓

Answer

We have, $L.C.M$. of $10$ and $15 = (2 \times 3 \times 5) = 30$
$\begin{array}{c|c}5&10,15\\\hline2&2,3\\\hline3&1,3\\\hline&1,1\end{array} $
Therefore, $2\frac{7}{10}+3\frac{8}{15}$
$=\frac{27}{10}+\frac{53}{15}$
$=\frac{(81+106)}{30}$
$\Big(\frac{30}{10}=3,3\times27=81\Big)$ and
$\Big(\frac{30}{15}=2,2\times53=106\Big)$
$=\frac{187}{30}$
$=6\frac{7}{30}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Fractions→Fractions — all question types→MATHS STD 6 question papers→Gujarat Board STD 6 question papers→Gujarat Board question paper generator→

Similar questions

In one day, a rickshaw puller earned $\text{Rs.}\ 137\frac{1}{2}$. Out of this money, he spent $\text{Rs.}\ 56\frac{3}{4}$ on food. How much money is left with him?

A rectangular path of $60m$ length and $3m$ width is covered by square tiles of side $25\ cm$. How many tiles will there be in one row along its width? How many such rows will be there? Find the number of tiles used to make this path?

Find the $LCM$ of $24$ and $90.$

The length and breadth of a room are $3 x^2 y^3$ and $6 x^3 y^2$, respectively. Find its perimeter and area.

A die was thrown $25$ times and following scores were obtained:

$1$	$5$	$2$	$4$	$3$
$6$	$1$	$4$	$2$	$5$
$1$	$6$	$2$	$6$	$3$
$5$	$4$	$1$	$3$	$2$
$3$	$6$	$1$	$5$	$2$

Prepare a frequency distribution table.

In the following numbers, replace * by the smallest number to make it divisible by $11: 1723*4$

A square piece of land has each side equal to $100m$. If $3$ layers of metal wire has to be used to fence it, what is the length of the wire needed?

Add without using number line $:(–13) + (+18)$

Tina had $20 m$ $5\ cm$ long cloth. she cuts $4 m$ $50 \ cm$ length of cloth from this for making a curtain. How much cloth is left with her ?

Divide $Rs. 3450$ among $A, B$ and $C$ in the ratio $3 : 5 : 7.$