# Fraction calculator

This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.

## The result:

### (7/8 - 4/5)^2 = 9/1600 = 0.005625

Spelled result in words is nine one-thousand six-hundredths.### How do we solve fractions step by step?

- Subtract: 7/8 - 4/5 = 7 · 5/8 · 5 - 4 · 8/5 · 8 = 35/40 - 32/40 = 35 - 32/40 = 3/40

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 5) = 40. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seven eighths minus four fifths is three fortieths. - Exponentiation: the result of step No. 1 ^ 2 = 3/40 ^ 2 = 3
^{2}/40^{2}= 9/1600

In other words - three fortieths raised to the power of squared is nine one-thousand six-hundredths.

#### 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

• multiplying a fraction by a whole number: 6 * 3/4

• square root of a fraction: sqrt(1/16)

• reducing or simplifying the fraction (simplification) : 4/22 - dividing the numerator and denominator of a fraction by the same non-zero number - equivalent fraction

• 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:

- Rhea answered

Rhea answered 5/11 of the questions correctly, and Precious answered 7/11 of them correctly. Who got the higher score if each problem is worth the same amount? - Solve 12

Solve the following quadratic equation: 3/2-(2x-1)²=5/4 - Please

Please determine the solvability conditions of the equation, solve the equation and perform the test: x divided by x squared minus 2x plus1 the whole minus x + 3 divided by x squared minus one is equal to 0: x/(x²-2x+1) - (x+3)/( x²-1) = 0 - Sq and cube

Find the product of the square of (1/2) and the cube of (2/3) - Simplest form

Find the simplest form of the following expression: 3 to the 2nd power - 1/4 to the 2nd power. - Calculate 68454

Calculate how many times the square of the number 1/100 is less than 1/1000. (numbers in fraction form) - Martha

Martha likes to walk in the park, which is square, 7/10 mi on each side. One morning Martha walked around the entire park 3 1/2 times before stopping to rest. How far had she walked? - 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]? - The expression

What is the value of the expression ((6²+60))/(2^{3}) - Express value

Given that p = √(mx/t-t² x) Make x the subject If m = 7, p = -3 and t = 4, find the value of x - Forest nursery

In the Forest nursery plant, one birch to 1.2 m². Calculate how many plants are planted in the area 738 acres. - Mr. Happy

Mr. Happy planted 36.6 meters of square garden grass; It's a third of the garden, more than half of the garden. What is the square area of this garden? - The ABCD

The ABCD trapezoid has a base length of a = 120mm, c = 86mm and an area of S = 2575 mm². Calculate the height of the trapezoid. - On the floor 2

The floor area of a living room is 9 7/9 m². A carpet with an area of 5 5/8 m² is placed on the floor. Find the area of the room that is not covered with carpet. - Coat of arms

The class created its coat of arms, which had a shape composed of an isosceles trapezoid ABCD (shorter base is a = 4.5 cm long, longer 2a = 9 cm, trapezoid height 6 cm) and a semicircle with center S and diameter AB. Three identical isosceles triangles fo

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