Maths-
General
Easy
Question
𝑉𝑒𝑟𝑖𝑓𝑦
Hint:
Solve the LHS part and RHS part separately and then compare.
The correct answer is: verified.
To verify
Express the rational numbers with positive denominator by multiplying with -1.
Here,
Consider the LHS part, we have …(i)
Determine the LCM of the denominators of rational numbers inside the brackets.
LCM of 5 and 3 = 15
On multiplying with 3, we get
On multiplying with 5, we get
On adding, we get
On substituting this in (i), we get
Determine the LCM of the denominators of rational numbers.
LCM of 15 and 4 = 60
On multiplying with 4, we get
On multiplying with 15, we get
On adding, we get
Thus we have LHS to be
Consider the RHS part, we have …(ii)
Determine the LCM of the denominators of rational numbers inside the brackets.
LCM of 3 and 4 = 12
On multiplying with 4, we get
On multiplying with 3, we get
On adding, we get
On substituting this in (ii), we get
Determine the LCM of the denominators of rational numbers.
LCM of 5 and 12 = 60
On multiplying with 12, we get
On multiplying with 5, we get
On adding, we get
Thus we have RHS to be
So we get LHS = RHS =
Hence verified.
Related Questions to study
Maths-
Diameter of a circle is 21 cm. Calculate its circumference.
Diameter of a circle is 21 cm. Calculate its circumference.
Maths-General
Maths-
The circumference of the given circle is _____.
The circumference of the given circle is _____.
Maths-General
Maths-
Find the perimeter of a semicircle of radius 28 cm.
Find the perimeter of a semicircle of radius 28 cm.
Maths-General
Maths-
What is the circumference of a circular disc of radius 14 cm?
What is the circumference of a circular disc of radius 14 cm?
Maths-General
Maths-
The circumference of a circular piece of plot is 440 m. Find its area.
The circumference of a circular piece of plot is 440 m. Find its area.
Maths-General
Maths-
Find the area of a circle of radius 21 m.
Find the area of a circle of radius 21 m.
Maths-General
Maths-
Find the circumference and area of the circle with radius 14 cm.
Find the circumference and area of the circle with radius 14 cm.
Maths-General
Maths-
𝑉𝑒𝑟𝑖𝑓𝑦
𝑉𝑒𝑟𝑖𝑓𝑦
Maths-General
Maths-
Verify
Verify
Maths-General
Maths-
Find the perimeter and area of a semicircle whose radius is 14 cm.
Find the perimeter and area of a semicircle whose radius is 14 cm.
Maths-General
Maths-
The diameter of a circular park is 98 m. Find the cost of fencing it at Rs 4 per metre.
The diameter of a circular park is 98 m. Find the cost of fencing it at Rs 4 per metre.
Maths-General
Maths-
The circumference of a circular park is 176 m. Find the area of the park.
The circumference of a circular park is 176 m. Find the area of the park.
Maths-General
Maths-
A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent into the form of a circle, find the area of the circle.
A copper wire when bent in the form of a square encloses an area of 121 cm2. If the same wire is bent into the form of a circle, find the area of the circle.
Maths-General
Maths-
Find the area of a circle whose radius is 14 cm.
Find the area of a circle whose radius is 14 cm.
Maths-General
Maths-
Find the circumference of the given circle.
Find the circumference of the given circle.
Maths-General