Fraction Calculator
This fraction calculator performs all basic fraction operations – addition, subtraction, multiplication, and division – and evaluates expressions with fractions. Each calculation includes a detailed step-by-step explanation.
The result:
(-1)^2 - 7*(-1) + 12*(-1)-4 = -8/1 = -8
Spelled out: minus eight.How do we solve fractions step by step?
- Exponentiation: (-1) ^ 2 = -12/12 = 1/1 = 1
To raise a fraction to a power, raise both the numerator and denominator to that power. Simplify if possible (reduce to lowest terms).
In other words, minus one raised to the power of squared equals one. - Multiply: 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 both denominators. Then simplify the resulting fraction to its lowest terms 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. - Multiply: 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 both denominators. Then simplify the resulting fraction to its lowest terms 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 - Use a forward slash to separate the numerator and denominator. For example, for five-hundredths, enter 5/100.Mixed numbers Leave one space between the whole number and the fraction part, and use a forward slash for the fraction. For example, enter 1 2/3 . For negative mixed numbers, write the negative sign before the whole number, such as -5 1/2.
Division of fractions - Since the forward slash is used for both fraction lines and division, use a colon (:) to divide fractions. For example, to divide 1/2 by 1/3, enter 1/2 : 1/3.
Decimals Enter decimal numbers using a decimal point (.), and they will be automatically converted to fractions. For example, enter 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
• multiplying fractions: 2/3 of 3/5
• divide to find the quotient: 3/5÷2/3
Order of Operations
Ever wondered why calculators don't just work left to right? This calculator follows the mathematical order of operations — a set of rules that ensures everyone solves expressions the same way, every time.
Popular Memory Tricks
Different regions use different mnemonics to remember this order:
* 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 (parentheses, brackets, braces: (){}), Exponents, Multiplication, Division, Addition, Subtraction
The Golden Rules
Rule 1: Multiplication and division always come before addition and subtraction. Think of them as the VIPs that skip to the front of the line!
Rule 2: When operations have equal priority (like × and ÷, or + and −), work from left to right—just like reading a book.
Rule 3: Parentheses change the natural order of evaluation of operations.
Fractions in word problems:
- Vegetarian menu
At a restaurant, 2/3 of the dishes on the menu are vegetarian. Of the vegetarian dishes, 1/10 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta dishes? - Test questions
Irena solves the test. She solved three-quarters of all questions during the first reading and another sixth during the review. In total, she solved 22 questions. How many questions does the whole test consist of? - The cat
The cat starts with 4/6 of a cup in his bowl. It eats 1/4 of a cup of food. How much food is left? - Peter multiplies Peter try to calculate: 3/4 x 2/3 He did 3x3 to get 9 and 4 x 2 to get 8. The final answer is 8/9. Can you explain the error and how to help? What is the correct answer?
- An eraser
The cost of an eraser is $ 0.80 and the cost of a pencil is $ 2. What is the ratio of their costs in simplest form? - Which 15 Which is larger, 1 2/7 or 10/4?
- Money - parts What part of €24 is €12, €4, €8, €1, €18, €20?
more math problems »
Last Modified: October 31, 2026
