# 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:

### 12 6/10 + 5 5/10 = 181/10 = 18 1/10 = 18.1

Spelled result in words is one hundred eighty-one tenths (or eighteen and one tenth).### How do we solve fractions step by step?

- Conversion a mixed number 12 6/10 to a improper fraction: 12 6/10 = 12 6/10 = 12 · 10 + 6/10 = 120 + 6/10 = 126/10

To find a new numerator:

a) Multiply the whole number 12 by the denominator 10. Whole number 12 equally 12 * 10/10 = 120/10

b) Add the answer from the previous step 120 to the numerator 6. New numerator is 120 + 6 = 126

c) Write a previous answer (new numerator 126) over the denominator 10.

Twelve and six tenths is one hundred twenty-six tenths. - Conversion a mixed number 5 5/10 to a improper fraction: 5 5/10 = 5 5/10 = 5 · 10 + 5/10 = 50 + 5/10 = 55/10

To find a new numerator:

a) Multiply the whole number 5 by the denominator 10. Whole number 5 equally 5 * 10/10 = 50/10

b) Add the answer from the previous step 50 to the numerator 5. New numerator is 50 + 5 = 55

c) Write a previous answer (new numerator 55) over the denominator 10.

Five and five tenths is fifty-five tenths. - Add: 126/10 + 55/10 = 126 + 55/10 = 181/10

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(10, 10) = 10. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 10 = 100. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one hundred twenty-six tenths plus fifty-five tenths is one hundred eighty-one tenths.

#### 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) |

## Fractions in word problems:

- My whole

My whole number is 88 if you add 5 thousandths, 8 tenths, and 7 thousandths. What number will I be? - A man 9

A man earns $2400 in his monthly salary. He spends 3/5 of his salary on food and rent. This month he decided to buy his family presents. What fraction of his money does he spend on presents? - Adding denominators

Max is working out 2/3+7/9. He says the answer is 9/12. What mistake has Max made? - Work out 2

Work out the sum of 2/6 and 1/6. Give your answer in its simplest form. - Evaluate 27

Evaluate the expression shown below and write your answer as a fraction in the simplest form. (8)/(3)+ (11)/(12)

more math problems »