Fraction calculator

This fraction calculator performs all fraction operations - addition, subtraction, multiplication, division and evaluates expressions with fractions. It also shows detailed step-by-step information.

The result:

(-1)^2 - 7(-1) + 12(-1)-4 = -8/1 = -8

The result spelled out in words is minus eight.

How do we solve fractions step by step?

Exponentiation: (-1) ^ 2 = -1²/1² = 1/1 = 1

In other words, minus one raised to the power of squared equals one.
Multiple: 7 * (-1) = 7 · (-1)/1 · 1 = -7/1 = -7
The first operand is an integer. It is equivalent to a fraction 7/1. Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-7, 1) = 1.
In other words, seven multiplied by minus one equals minus seven.
Subtract: the result of step No. 1 - the result of step No. 2 = 1 - (-7) = 1/1 - -7/1 = 1/1 - (-7/1) = 1 - (-7)/1 = 8/1 = 8
Both fractions have the same denominator, which is then the common denominator in the subtracting them.
In other words, one minus minus seven equals eight.
Multiple: 12 * (-1) = 12 · (-1)/1 · 1 = -12/1 = -12
The first operand is an integer. It is equivalent to a fraction 12/1. Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-12, 1) = 1.
In other words, twelve multiplied by minus one equals minus twelve.
Add: the result of step No. 3 + the result of step No. 4 = 8 + (-12) = 8/1 + -12/1 = 8/1 + (-12/1) = 8 + (-12)/1 = -4/1 = -4
Both fractions have the same denominator, which is then the common denominator in the adding them.
In other words, eight plus minus twelve equals minus four.
Subtract: the result of step No. 5 - 4 = -4 - 4 = -4/1 - 4/1 = -4 - 4/1 = -8/1 = -8
Both fractions have the same denominator, which is then the common denominator in the subtracting them.
In other words, minus four minus four equals minus eight.

Rules for expressions with fractions:

Fractions - write a forward slash to separate the numerator and 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 whole part and fraction and use a forward slash to input fraction i.e., 1 2/3 . A negative mixed fraction write for example as -5 1/2.
A slash is both a sign for fraction line and division, use a colon (:) for division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal dot . and they are automatically converted to fractions - i.e. 1.45.

Math Symbols

Symbol	Symbol name	Symbol Meaning	Example
+	plus sign	addition	1/2 + 1/3
-	minus sign	subtraction	1 1/2 - 2/3
*	asterisk	multiplication	*2/3 3/4**
×	times sign	multiplication	2/3 × 5/6
:	division sign	division	1/2 : 3
/	division slash	division	1/3 / 5
:	colon	complex fraction	1/2 : 1/3
^	caret	exponentiation / power	1/4^3
()	parentheses	calculate expression inside first	-3/5 - (-1/4)

The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order are:

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS: Brackets, Exponents, Division, Multiplication, Addition, Subtraction.
BODMAS: Brackets, Order (or "Of"), Division, Multiplication, Addition, Subtraction.
GEMDAS: Grouping symbols (brackets: `(){}`), Exponents, Multiplication, Division, Addition, Subtraction.
MDAS: Multiplication and Division (same precedence), Addition and Subtraction (same precedence). MDAS is a subset of PEMDAS.

Important Notes:
1. Multiplication/Division vs. Addition/Subtraction: Always perform multiplication and division *before* addition and subtraction.
2. Left-to-Right Rule: Operators with the same precedence (e.g., `+` and `-`, or `*` and `/`) must be evaluated from left to right.