Perform the indicated operation and simplify calculator

Video Transcript

seven and 11/21 minus two in 10 over 33. Now these denominators are not the same, so we're going to have to find it's common denominator. However, for me, it's not very obvious. See which ones will be able to multiply to get the same number. So it's easiest for me to you multiply it by the other fractions. Denominator. So now, using our handy dandy calculators 33 times 11 is going to be 363 over 33 times 21 which is 693 minus, uh, 21 times 10 is gonna be to 10 in the scene denominator number just to bring down these well numbers. And now we subtract You ended. 63 minus 210 is going to be 153 over this same denominator. Seven minus two is five. Now, we can simplify this. I see that these both end and three son going to divide them by three 153. Divided by three is 51 693 divided by three is going to be 231. No, I'm going to you keep the writing. I know that 51 divided by three is going to be 17 and 231 divided by three is going to be 77. I figured that out. Using the calculator again. Now we can't simple by this down anymore, cause 17 is a prime number. So I'm just going to bring back this whole number. It's our final answer is five and 17 77th.

This calculator will try to simplify fractions, polynomial, rational, radical, exponential, logarithmic, trigonometric, and hyperbolic expressions.

Enter an expression:

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Type in your sum to see how to solve it step by step. Examples: 2+3*4 or 3/4*3

Description

Just type in sums like these (see Order of Operations for more detail):

Examples:

  • 1+2*3
  • 7 + (6 * 5^2 + 3)
  • cos(1.2^2)+3
  • (5−3)(5+3)
  • ( −6 + √(6²−4×5×1) ) / (2×5)
  • sqrt(3^2+4^2)

You will see what the calculator thinks you entered (which may be a little different to what you typed), and then a step-by-step solution.

Note: there can be more than one way to find a solution.

The calculator is still under development and may get things wrong, so be careful!

Tree View

Press the "tree" button to see your sum as a tree. You would do the calculations from the top down ... sometimes you have a choice which calculation to do first.

All Functions

Operators

  +Addition operator
  -Subtraction operator
  *Multiplication operator
  /Division operator
  ^Exponent (Power) operator

Functions

  sqrtSquare Root of a value or expression.
  sinsine of a value or expression
  coscosine of a value or expression
  tantangent of a value or expression
  asininverse sine (arcsine) of a value or expression
  acosinverse cosine (arccos) of a value or expression
  ataninverse tangent (arctangent) of a value or expression
  sinhHyperbolic sine of a value or expression
  coshHyperbolic cosine of a value or expression
  tanhHyperbolic tangent of a value or expression
  exp e (the Euler Constant) raised to the power of a value or expression
  lnThe natural logarithm of a value or expression
  logThe base-10 logarithm of a value or expression
  floorReturns the largest (closest to positive infinity) value that is not greater than the argument and is equal to a mathematical integer.
  ceilReturns the smallest (closest to negative infinity) value that is not less than the argument and is equal to a mathematical integer.
  absAbsolute value (distance from zero) of a value or expression
  signSign (+1 or −1) of a value or expression
    

Constants

  piThe constant π (3.141592654...)
  eThe Euler constant (2.71828...), the base for the natural logarithm

How do you perform operations and simplify?

Explain to students that they have developed a set of steps called the order of operations. When simplifying, do all expressions inside parentheses first, then all exponents, then all multiplication and division operations from left to right, and finally all addition and subtraction operations from left to right.

Can calculator do order of operations?

If your calculator is NOT a scientific calculator it does NOT follow order of operations and calculates the result in the order in which the entries were made. In this case, you will not get a correct answer so you will have to adjust how you enter the values. To see if your has algebraic logic enter 2 + 3 x 4.

How do you expand and simplify?

In order to expand and simplify an expression, we need to multiply out the brackets and then simplify the resulting expression by collecting the like terms. Expanding brackets (or multiplying out) is the process by which we remove brackets.