Question
Simplify: $\frac{6 \mathrm{k}}{7}-\left(\frac{8 \mathrm{k}}{9}-\frac{\mathrm{k}}{3}\right)$
✓
Answer
$\begin{aligned} & \frac{6 \mathrm{k}}{7}-\left(\frac{8 \mathrm{k}}{9}-\frac{\mathrm{k}}{3}\right) \\ & =\frac{54 \mathrm{k}-(56 \mathrm{k}-21 \mathrm{k})}{63} \quad \ldots(\mathrm{LCM} \text { of } 7,9,3=63) \\ & =\frac{54 \mathrm{k}-(35 \mathrm{k})}{63} \\ & =\frac{54 \mathrm{k}-35 \mathrm{k}}{63}=\frac{19 \mathrm{k}}{63}\end{aligned}$
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
A train is running at 45 km per hour. How far does it go in 8 seconds?
Find the third proportional of 1.6 and 0.8
Find the perimeter and area of a rectangle having : Length = 9.6 cm, Breadth = 1.5 cm
Find the area of the triangle, having : base = 16 cm, height = 7.5 cm
A train 150 m long crosses a tree in 6 seconds. What is the speed of the train in km per hour?
Add the rational number : $\frac{-3}{8}$ and $\frac{5}{-8}$
→Find the unknown angle marked in the figure :
State, if the following pair of a set, is disjoint:
{people living in Calcutta} and
{people living in West Bengal}.
{people living in Calcutta} and
{people living in West Bengal}.
The diameter of a wheel of a car is 1.12 m . Find the distance covered by the car in making 500 revolutions by its wheels. (Take $\pi=\frac{22}{7}$ )
→In the following figure, two lines $A B$ and $C D$ are cut by a transversal $E F$. In case, find whether $A B \| C D$ or not. Give reasons in support of your answer.
→