Calculator Square of a Fraction
This online calculator finds the square of a fraction. To calculate the square of a fraction, multiply the fraction by itself. Or simply multiply the numerator by itself and place it over the square of the numerator. Then simplify the result to the lowest terms or a mixed number.
2/3^2 = 4/9 ≅ 0.4444444
Spelled out: four ninths.How do we solve fractions step by step?
- Exponentiation: 2/3 ^ 2 = 22/32 = 4/9
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 squared equals four ninths.
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:
- The playground 2
The dome is built on the playground. The dome covers an area of 1 2/3 square meters, which is 5/840 of the total area of the playground. What is the total area of the playground? - Trapezoid crossbar height
Calculate the middle crossbar of a trapezoid whose area is 111.8 cm² and height 6.5 cm. - Building plot house
The building plot has a shape with dimensions of 28 m and 34 m. Mr. Black built a house on it with 920 cm and 1250 cm dimensions. Calculate the area of the plot. How much of the plot does the house occupy? How many square meters of land does Mr. Black hav - Box cardboard material
The closed box has the shape of a perpendicular prism with the base of an equilateral triangle. The edge of the base is 24 cm long, and the height of the box is 0.5 m. Calculate how many square meters of cardboard are needed to make 20 such boxes, assumin - Parallelogram perimeter area
The parallelogram has side a = 58cm and diagonals u = 89cm and v = 52cm. Calculate the perimeter and area of this parallelogram. - Fraction of a time
Express a fraction of what a 24-hour portion is, 80 minutes. - Evaluate 37
Evaluate the function K(x) = 2x²+3x-2 what is the value of K(½)
more math problems »
Last Modified: February 17, 2026
