# Fraction calculator

This calculator adds two fractions. When fractions have the same denominators calculator simply adds the numerators and place the result over the common denominator. Then simplify the result to the lowest terms or a mixed number.

## The result:

### 3/4 + 1/4 = 1/1 = 1

The spelled result in words is one.### How do we solve fractions step by step?

- Add: 3/4 + 1/4 = 3 + 1/4 = 4/4 = 4 · 1/4 · 1 = 1

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(4, 4) = 4. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 4 = 16. In the following intermediate step, cancel by a common factor of 4 gives 1/1.

In other words - three quarters plus one quarter is one.

### 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:

- Puzzle game

In a letter puzzle game, John can use every alphabet only once. He used only 8 alphabets to solve the puzzle. What fraction of the 26 alphabets did he use? Express your answer as a fraction in the simplest form. - In fractions

An ant climbs 2/5 of the pole in the first hour and climbs 1/4 of the pole in the next hour. What part of the pole does the ant climb in two hours? - Vegetarian menu

At a restaurant, 2/3 of the dishes on the menu are vegetarian. Of the vegetarian dishes, 1/10 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta dishes? - Questions 83115

Irena solves the test. She solved three-quarters of all questions during the first reading and another sixth during the review. In total, she solved 22 questions. How many questions does the whole test consist of?

- The cat

The cat starts with 4/6 of a cup in his bowl. It eats 1/4 of a cup of food. How much food is left? - Peter 15

Peter try to calculate: 3/4 x 2/3 He did 3x3 to get 9 and 4 x 2 to get 8. The final answer is 8/9. Can you explain the error and how to help? What is the correct answer? - A less than B

What is 3/5 less than 11/12? (Answer should be in proper or improper only: Example 1/2, -1/2, 3/2, and -3/2) - Scouts 4

4/7 out of the students in a school are boys. If 3/8 of the boys are scouts, how many scouts are there in a school of 1878 students? - Library visitors

Sixty percent of library visitors borrow detective stories or science fiction and nothing else, one-fifth only classic literature and one-tenth only non-fiction. Other library visitors only borrow poetry. In September, 168 library visitors borrowed classi

- Unknown number

I think the number - its sixth is three smaller than its third. - Prealgebra ex

Find an unknown number/mixed number N in the given equation: N + 3 1/2 = 6 3/4 - Remaining 82995

Children in the school club made a tricolor chain from crepe paper. One-eighth of the chain is red, three-quarters is olive, and the remaining 20 cm is blue. What length of chain did they make? - Which 15

Which is larger, 1 2/7 or 10/4? - In Paris

In Paris, TX, there are approximately 25,000 people. Of those people, 1/4 are under the age of 18. How many people are under the age of 18?

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