This fraction calculator performs basic and advanced fraction operations, including solving problems with expressions that involve numbers and fractions greater than or equal to three and two. It also provides a step-by-step explanation of the calculation procedure for fractions, as well as helps in finding the value of multiple fraction operations. The calculator can handle mixed numbers, decimals, integers, and combined fractions.

## The result:

### 2 – 5/8 = 11/8 = 1 3/8 = 1.375

The written outcome is eleven eighths (or one and three eighths).

### How do we solve fractions step by step?

#### Rules for expressions with fractions:

To divide the numerator by the denominator and represent it as a fraction, you can use a forward slash. If you are using mixed numbers, make sure to leave a space between the whole number and the fraction. For example, if you enter 100/5, it is equivalent to five-hundredths.

Mixed numerals (mixed numbers or fractions) should have one space between the whole number and the fraction.

Fraction and use a forward slash to input fractions i.E., 1 2/3 . An example of a negative mixed fraction: -5 1/2.

Employ a colon (:) as the division operator for fractions, such as 1/2 : 1/3, since the slash symbolizes both the fraction line and division.

Decimal numbers (decimals) are entered with a dot and they are automatically transformed into fractions – for example, 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) |

The calculator follows established principles for the order of operations. The most common memory aids for remembering this order of operations are:.

PEMDAS – Brackets, Powers, Multiplication, Division, Addition, Subtraction.

BODMAS – Brackets, Orders, Division, Multiplication, Addition, Subtraction.

BODMAS – Parentheses, Exponents, Division, Multiplication, Addition, Subtraction.

PEMDAS – Grouping Symbols – parentheses (){}, Exponents, Multiplication, Division, Addition, Subtraction.

The order of operations includes the PEMDAS rule. The MDAS rule represents the precedence rule, in which Multiplication and Division hold the same level of importance as Addition and Subtraction.

The evaluation from right to left must have the same priority for some operators, such as (/ and *), and (- and +). Always be careful to perform subtraction and addition before division and multiplication.