Fraction Calculator
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.
The result:
1/2^3 = 1/8 = 0.125
Spelled out: one eighth.How do we solve fractions step by step?
- Exponentiation: 1/2 ^ 3 = 13/23 = 1/8
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, one half raised to the power of cubed equals one eighth.
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:
- Number sum square
Calculate the square of the half of the sum of the numbers 3/5 and -1/3. - Two xeroxes
The performances of the two copiers are in the ratio of 3:4. A machine with higher power will make 7,200 copies in one hour. How many copies will both machines make together in 5 hours? - The plot
Mr. Duma recently inherited a rectangular plot, part of the estate left by his late father. The plot with the following dimensions: Length=2x+1; Width=x-1. Determine the formula, in terms of x, that best describes the area of the rectangular plot. He has - Wall paint proportional
Matthew paints his room. He paints square walls. He painted a wall with a side of 3 m and consumed 5 kg of paint. How many kilograms of paint will he need on a wall with a side length of 6 m? - 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. - 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 - Construction work
A group of masons had to finish the rough construction within three days. On the first day, they completed a third of this task, but on the second day, they were delayed and did 15% less work than the first day. By what % relative to the second day must t
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Last Modified: April 27, 2026
