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) |
Examples:
• adding fractions: 2/4 + 3/4• subtracting fractions: 2/3 - 1/2
• multiplying fractions: 7/8 * 3/9
• dividing Fractions: 1/2 : 3/4
• reciprocal of a fraction: 1 : 3/4
• square of a fraction: 2/3 ^ 2
• cube of a fraction: 2/3 ^ 3
• exponentiation of a fraction: 1/2 ^ 4
• fractional exponents: 16 ^ 1/2
• adding fractions and mixed numbers: 8/5 + 6 2/7
• dividing integer and fraction: 5 ÷ 1/2
• complex fractions: 5/8 : 2 2/3
• decimal to fraction: 0.625
• Fraction to Decimal: 1/4
• Fraction to Percent: 1/8 %
• comparing fractions: 1/4 2/3
• square root of a fraction: sqrt(1/16)
• expression with brackets: 1/3 * (1/2 - 3 3/8)
• compound fraction: 3/4 of 5/7
• fractions multiple: 2/3 of 3/5
• divide to find the quotient: 3/5÷2/3
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.
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.
Fractions in word problems:
- A cake 2
Karen sliced a cake into 10 slices. She ate 2/10 of it and after some time she ate another 4/10 of it. How much of the cake did Karen eat? - Two equivalent fractions
2/4= what over 12 - 10 children
Ten children in the park, four-tenths are wearing a red shirt. How many children in the park are wearing a red shirt? - Divide 42 Divide. Write your answer in the lowest terms as a proper or improper fraction. (8/25)÷(-4/5)
- Trent
Trent operates a hot dog stand. On Wednesday, he used two bags of hot dog buns. On Thursday, he used 1/5 as many hot dog buns as Wednesday. How many bags of hot dog buns Trent used on Thursday? - Division by reciprocal
What is the corresponding illustration/model of 7÷ 1/3? - In dividing
In dividing fractions, get the reciprocal of the divisor and change the division symbol to the multiplication symbol. 2/3 : 5/6
more math problems »
Last Modified: August 26, 2025
