Calculator Cube of a Fraction
This online calculator finds the cube of a fraction. Simply compute the cube of the numerator and place it over the cube of the denominator. Then simplify the result to the lowest terms or a mixed number.
2/3^3 = 8/27 = 0.2962963
Spelled out: eight twenty-sevenths.How do we solve fractions step by step?
- Exponentiation: 2/3 ^ 3 = 23/33 = 8/27
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, two thirds raised to the power of cubed equals eight twenty-sevenths.
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) |
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:
- Expression with powers
Which expression is equivalent to 2.1 raised to the fifth power divided by 0.9 raised to the fourth power, all raised to the third power? - Cbrt of fraction
If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction. - Volume of ball
Find the volume of a volleyball with a radius of 4 1/2 decimeters. Use 22/7 for π - Choose 2
Choose an equivalent expression for three-fourths raised to the fourth power times three-fourths raised to the third power, all raised to the second power. - Fraction function
If Begin equation . . . y equals . . . begin fraction . . . x raised to the second power minus 3 times x plus 10 . . . over . . . x plus 4 . . . end fraction . . . end equation, find f(5). - Evaluate statement
Which is a correct statement about the description "two less than the quotient of a number cubed and sixteen, increased by eight" when n = 4? Choices: The value when n = 4 is 6. The value when n = 4 is 7. The value when n = 4 is 9. The value when n = 4 is - Simplest form
Find the simplest form of the following expression: 3 to the 2nd power - 1/4 to the 2nd power.
more math problems »
Last Modified: March 24, 2026
