Solve for x: three halves plus one half times x equals two x x equals two thirds x = 1 x = 2 x = 3

Enter an equation in the box, then click “SIMPLIFY”. The calculator will simplify the equation step-by-step, and display the result. If you wish to solve the equation, use the

Equation Solving Calculator.

Variables

Any lowercase letter may be used as a variable.

Exponents

Exponents are supported on variables using the ^ (caret) symbol. For example, to express x2, enter x^2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not be placed

on numbers, brackets, or parentheses.

Parentheses and Brackets

Parentheses ( ) and brackets [ ] may be used to group terms as in a standard equation or expression.

Multiplication, Addition, and Subtraction

For addition and subtraction, use the standard + and – symbols respectively. For multiplication, use the * symbol. A * symbol is not necessiary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5).

The * is also optional when multiplying with parentheses, example: (x + 1)(x – 1).

Order of Operations

The calculator follows the standard order of operations taught by most algebra books – Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not supported;

attempts to use the / symbol will result in an error.

Division, Square Root, Radicals, Fractions

The above features are not supported.

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.

Spelled result in words is thirty-five sixths (or five and five sixths).

How do we solve fractions step by step?

Conversion a mixed number 1 2/3 to a improper fraction: 1 2/3 = 1 2/3 = 1 · 3 + 2/3 = 3 + 2/3 = 5/3To find a new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/3 = 3/3

b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 =
5 c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Conversion a mixed number 3 1/2 to a improper fraction: 3 1/2 = 3 1/2 = 3 · 2 + 1/2 = 6 + 1/2 = 7/2To find a new numerator:
a) Multiply the whole number 3 by the denominator 2. Whole number 3 equally 3 * 2/2 = 6/2

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 =
7 c) Write a previous answer (new numerator 7) over the denominator 2.
Three and one half is seven halfs
Multiple: 5/3 * 7/2 = 5 · 7/3 · 2 = 35/6
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(35, 6) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - five thirds multiplied by seven halfs is thirty-five sixths.

Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one space between the integer and

fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both sign for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.

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