# Math Tutoring Online

A lot of students struggle with learning Math in school. They find the idea of solving math problems  tough. Math tutoring online takes care of this by offering one-on-one help with an expert online tutor. Online Math tutors work with students to solve any math problem and help improve their concept understanding and grades. Students can study from the comfort of home and solve simple and complex math problem quickly and easily. Online math tutoring sites put students in touch with experienced math problem solvers and allows them to get instant answers to their problems. Online Math tutoring sites have solved examples, which are a good reference on how to solve math problems making the subject easy.

## Online Math Tutoring

Math tutoring online sites have tutors who give students step-by-step solutions so that they understand how to do the entire problem. Besides they also offer extensive practice sheets and exercises on each topic solved to make sure a student gets confident with the topic. Math Tutoring Online is a great option for students who are looking for serious help with math. They can schedule daily or weekly sessions, according to their learning needs and work with live tutors who explain the subject, help out with homework and enable them to solve their math problems. Online math tutoring sites offer comprehensive and experienced, math help in the form of expert tutors to let students learn a subject  at their own time and pace.

## Solved Examples

Question 1: Simplify $\frac{x^2 - x - 2}{x^2 - 4x - 5}$
Solution:
Given, $\frac{x^2 - x - 2}{x^2 - 4x - 5}$

Step 1:
Find the factors of quadratic equations

x2 - x - 2 = x- 2x + x - 2

= x(x - 2) + (x - 2)

= (x + 1)(x - 2)

and

x2 - 4x - 5 = x2 - 5x + x - 5

= x(x - 5) + (x - 5)

= (x + 1)(x - 5)

Step 2:

=>
$\frac{x^2 - x - 2}{x^2 - 4x - 5}$ = $\frac{(x + 1)(x - 2)}{(x + 1)(x - 5)}$

= $\frac{x - 2}{x - 5}$

=>  $\frac{x^2 - x - 2}{x^2 - 4x - 5}$ = $\frac{x - 2}{x - 5}$

Question 2: An amusement park is planning a circular ride for children. If the radius of the circle is 14 feet, what is the area.
Solution:
Given
Radius of the circle (r) = 14

Let the area of circle = A

Use the formula, A = ∏ r2 , where ∏ = $\frac{22}{7}$

=> A = $\frac{22}{7}$ * (14)2

=> A = $\frac{22}{7}$ * 14 * 14

=> A = 616 square feet.

Hence, area of the circular field id 616 square feet.

Question 3: The sum of three rational numbers is 3. If two of the numbers are $\frac{-3}{10}$ and $\frac{5}{15}$. Find the third number.

Solution:
Sum of the three numbers = 3

Two of the numbers are $\frac{-3}{10}$ and $\frac{5}{15}$

Step 1:
Sum of two numbers

=> $\frac{-3}{10}$ + $\frac{5}{15}$ = $\frac{-9 + 10}{30}$

= $\frac{1}{30}$

Step 2:

To find the third number, subtract sum of two numbers form the 3

=>  Third number = 3 - $\frac{1}{30}$

=
$\frac{90 - 1}{30}$

=
$\frac{89}{30}$

Hence the third number is $\frac{89}{30}$.