Question
Simplify:
$\frac{5}{26}+\frac{11}{-39}$
$\frac{5}{26}+\frac{11}{-39}$
✓
Answer
$\frac{11}{-39}=\frac{-11}{39}$
The LCM of the denominator 36 and 39 is 78.
Now,
We will express $\frac{-3}{4}$ and $\frac{-11}{39}$ in the form of which it takes denominator as 78.
$\frac{5}{26}=\frac{5\times3}{26\times3}=\frac{15}{78}$
$\frac{-11}{39}=\frac{-11\times2}{39\times2}=\frac{-22}{78}$
So,
$\frac{15}{78}+\frac{-22}{78}$
$=\frac{15-22}{78}=\frac{-7}{-78}$
The LCM of the denominator 36 and 39 is 78.
Now,
We will express $\frac{-3}{4}$ and $\frac{-11}{39}$ in the form of which it takes denominator as 78.
$\frac{5}{26}=\frac{5\times3}{26\times3}=\frac{15}{78}$
$\frac{-11}{39}=\frac{-11\times2}{39\times2}=\frac{-22}{78}$
So,
$\frac{15}{78}+\frac{-22}{78}$
$=\frac{15-22}{78}=\frac{-7}{-78}$
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
If x and y vary inversely and x = 18 when y = 8, find x when y = 16.
Two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure of each of its angles.
A cistern has two inlets A and B which can fill it in 12 minutes and 15 minutes respectively. An outlet C can empty the full cistern in 10 minutes. If all the three pipes are opened together in the empty tank, how much time will they take to fill the tank completely?
Add the following algebric expressions:
$\frac{7}{2}\text{x}^{3}-\frac{1}{2}\text{x}^{2}+\frac{5}{3},$$\frac{3}{2}\text{x}^{3}+\frac{7}{4}\text{x}^{2}-\text{x}+\frac{1}{3},$$\frac{3}{2}\text{x}^{2}-\frac{5}{2}\text{x}-2$
→$\frac{7}{2}\text{x}^{3}-\frac{1}{2}\text{x}^{2}+\frac{5}{3},$$\frac{3}{2}\text{x}^{3}+\frac{7}{4}\text{x}^{2}-\text{x}+\frac{1}{3},$$\frac{3}{2}\text{x}^{2}-\frac{5}{2}\text{x}-2$
Find the squares of the following numbers using the identity $(a-b)^2=a^2-2 a b+b^2$ :
95
→95
Factorize:
$a^4 b-3 a^2 b^2-6 a b^3$
→$a^4 b-3 a^2 b^2-6 a b^3$
Find the smallest number by which the given number must be divided so that the resulting number is a perfect square:
2904
2904
Find the area enclosed by the given figure ABCDEF as per dimensions given herewith.
Surabhi borrowed a sum of Rs. 12000 from a finance company to purchase a refrigerator. If the rate of interest is 5% per annum compounded annually, calculate the compound interest that Surabhi has to pay to the company after 3 years.
A rectangular sheet of paper 30cm × 18cm can be transformed into the curved surface of a right circular cylinder in two ways i.e., either by rolling the paper along its length or by rolling it along its breadth. Find the ratio of the volumes of the two cylinders thus formed.