Simplify: -11 39 +5 26 +2 1 - Vidyadip

Question

Simplify:
$\frac{-11}{39}+\frac{5}{26}+\frac{2}{1}$

✓

Answer

$\frac{-11}{39}+\frac{5}{26}+\frac{2}{1}$
LCM of 39 and 26 = 78
$\begin{array}{c|c}13&39,26\\\hline&3,2\end{array}$
$\therefore\text{ LCM}=13\times3\times2=78$
$\frac{-11}{39}=\frac{-11\times2}{39\times2}=\frac{-22}{78}$
$\frac{5}{26}=\frac{5\times3}{26\times3}=\frac{15}{78}$
$\frac{2}{1}=\frac{2\times78}{1\times78}=\frac{156}{78}$
$\therefore\frac{-11}{39}+\frac{5}{26}+\frac{2}{1}$
$=\frac{-22}{78}+\frac{15}{78}+\frac{156}{78}$
$=\frac{-22+15+156}{78}$
$=\frac{-22+171}{78}$
$=\frac{149}{78}$

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 "4 Mark Question" from Rational Numbers→Rational Numbers — all question types→Maths STD 7 question papers→Maharashtra Board STD 7 question papers→Maharashtra Board question paper generator→

Similar questions

Construct a $\triangle\text{ABC}$ in which BC = 7cm,$\angle\text{A}=45^\circ.$and $\angle\text{C}=75^\circ.$

Write the following numbers using positive indices :
i. $\left(\frac{2}{7}\right)^{-2}$
ii. $\left(\frac{11}{3}\right)^{-5}$
iii. $\left(\frac{1}{6}\right)^{-3}$
iv. $(y)^{-4}$

A bicycle wheel makes 5000 revolutions in moving 11km. Find the circumference and the diameter of the wheel.

Draw a right triangle with hypotenuse of length 5cm and one side of length 4cm.

A corridor of a school is 8 m long and 6 m wide. It is to be covered with canvas sheets. If the available canvas sheets have the size $2 m \times 1 m$, find the cost of canvas sheets required to cover the corridor at the rate of Rs 8 per sheet.

Draw, an obtuse-angled triangle and a right-angled triangle. Find the points of concurrence of the angle bisectors of each triangle. Where do the points of concurrence lie ?

The side BC of $\triangle \text{ABC}$ is produced to a point D. The bisector of $\angle \text{A}$ meets side BC in L. If $\angle \text{ABC}= 30^\circ$ and $\angle \text{ACD}=115^\circ,$ find $\angle \text{ALC}$

Shikha deposited Rs. 2000 in a bank which pays 6% simple interest. She withdrew Rs. 700 at the end of first year. What will be her balance after 3 years?

1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted for an extra 32 days. How many soldiers left the fort?

A hall 36 m long and 24 m broad allowing $80 m^2$ for doors and windows, the cost of papering the walls at Rs. 8.40 per $m ^2$ is Rs. 9408 . Find the height of the hall.