Question
Simplify: $\frac{5}{26}+\frac{11}{-39}$
✓
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, $\frac{15}{78}+\frac{-22}{78}$ $=\frac{15-22}{78}=\frac{-7}{-78}$
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
Find the value of $x$, if:
$14x = (47)^2- (33)^2$
→$14x = (47)^2- (33)^2$
There are two cuboidal boxes as shown in the following figures. Which box requires the lesser amount of material to make?
Find the area of the shaded portion in the following figures.
The following pie chart depicts the expenditure of a state government under different heads.
$i.$ If the total spending is $10$ crores, how much money was spent on roads?
$ii.$ How many times is the amount of money spent on education compared to the amount spent on roads?
$iii.$ What fraction of the total expenditure is spent on both roads and public welfare together?
→$i.$ If the total spending is $10$ crores, how much money was spent on roads?
$ii.$ How many times is the amount of money spent on education compared to the amount spent on roads?
$iii.$ What fraction of the total expenditure is spent on both roads and public welfare together?
Draw a quadrilateral whose diagonals have equal lengths of 8 cm that bisect each other, and intersect at an angle of $90^{\circ}$
→Simplify: $\bigg(\Big(\frac{-2}{3}\Big)^{-2}\bigg)^3\times\Big(\frac{1}{3}\Big)^{-4}\times3^{-1}\times\frac{1}{6}$
→The radius and height of a cylinder are in the ratio $5 : 7$ and its volume is $550cm^2$. Find its radius and height.
→Re-arrange suitably and find the sum in the following: $\frac{11}{12}+\frac{-17}{3}+\frac{11}{2}+\frac{-25}{2}$
→Solve the following equations :
$\frac{2 x}{3}+1=\frac{7 x}{15}+3.$
→$\frac{2 x}{3}+1=\frac{7 x}{15}+3.$
On dividing Rs. $200$ between $A$ and $B$ such that twice of A’s share is less than $3$ times $B$’s share by $200, B$’s share is?
→