# 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:

### 4 3/9 - 2 7/9 = 14/9 = 1 5/9 ≅ 1.5555556

Spelled result in words is fourteen ninths (or one and five ninths).### How do we solve fractions step by step?

- Conversion a mixed number 4 3/9 to a improper fraction: 4 3/9 = 4 3/9 = 4 · 9 + 3/9 = 36 + 3/9 = 39/9

To find a new numerator:

a) Multiply the whole number 4 by the denominator 9. Whole number 4 equally 4 * 9/9 = 36/9

b) Add the answer from the previous step 36 to the numerator 3. New numerator is 36 + 3 = 39

c) Write a previous answer (new numerator 39) over the denominator 9.

Four and three ninths is thirty-nine ninths. - Conversion a mixed number 2 7/9 to a improper fraction: 2 7/9 = 2 7/9 = 2 · 9 + 7/9 = 18 + 7/9 = 25/9

To find a new numerator:

a) Multiply the whole number 2 by the denominator 9. Whole number 2 equally 2 * 9/9 = 18/9

b) Add the answer from the previous step 18 to the numerator 7. New numerator is 18 + 7 = 25

c) Write a previous answer (new numerator 25) over the denominator 9.

Two and seven ninths is twenty-five ninths. - Subtract: 39/9 - 25/9 = 39 - 25/9 = 14/9

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(9, 9) = 9. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 9 = 81. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - thirty-nine ninths minus twenty-five ninths is fourteen ninths.

#### 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:

- Compare two fractions

Find which is the larger of the two fractions: 11/32, 7/24, by expressing the numbers as a) fractions with the same denominator, b) decimals. - Anesa

Anesa ate 3/4 of her pizza, and Eman ate 1/4 of her pizza. Who ate the greater part of the pizza? - From least to greatest

Which set of rational numbers is arranged from least to greatest? A) -3.5, negative 1 over 4, 2, 1 over 3 B) -3.5, negative 1 over 4, 1 over 3, 2 C) 2, 1 over 3, negative 1 over 4, -3.5 D) negative 1 over 4, 1 over 3, 2, -3.5 - 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? - Playing games

In a school, 9/10 of the students take part. 2/3 of these play football. What fraction of the students play football?

more math problems »