# Fraction calculator

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.

## The result:

### 2/5^2 = 4/25 = 0.16

The spelled result in words is four twenty-fifths.### How do we solve fractions step by step?

- Exponentiation: 2/5 ^ 2 = 0.16 = 4/25

### Rules for expressions with fractions:

**Fractions**- use a forward slash to divide the numerator by 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 integer and

fraction and use a forward slash to input fractions i.e.,

**1 2/3**. An example of a negative mixed fraction:

**-5 1/2**.

Because slash is both sign for fraction line and division, use a colon (:) as the operator of division fractions i.e.,

**1/2 : 1/3**.

Decimals (decimal numbers) enter with a decimal point

**.**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 of operations are:

**PEMDAS**- Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

**BEDMAS**- Brackets, Exponents, Division, Multiplication, Addition, Subtraction

**BODMAS**- Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.

**GEMDAS**- Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.

**MDAS**- Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.

Be careful; always do

**multiplication and division**before

**addition and subtraction**. Some operators (+ and -) and (* and /) have the same priority and must be evaluated from left to right.

## Fractions in word problems:

- Quotient and product

What is the sum of the quotient of [8/5 divided by 8/10] added to the product of [8/14 x 7/12 x 3/8]? - Calculate 3806

Calculate the perimeter of a square if its length equals 2/3 of the number 75. - 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? - Ten packages

Tina has ten packages of yarn to knit a scarf. She uses 1/3 of a package of yarn for each inch of length she adds to the scarf. If Tina uses all the yarn, how long will her scarf be?

- Tree planting

The trapezoidal garden has bases 44 m and 16 m long. Their distance is 25 m. How many square meters of its area will remain for tree planting if we use 1/5 of the entire site to construct a cottage, backyard, and road? Is it possible to find the length of - Much 37741

How much is half the half the cube half? - Increased 12441

A car traveling at a speed of 25km/h increased the speed to a) 75km/h b) 100km/h when exiting the highway. How many times has its kinetic energy increased?

more math problems »

Last Modified: August 30, 2024