# Calculator dividing Fractions

This calculator divides fractions. The first step makes the reciprocal value of the second fraction - exchange numerator and denominator of 2nd fraction. Then multiply both numerators and place the result over the product of both denominators. Then simplify the result to the lowest terms or a mixed number.

### 1/2 : 3/4 = 2/3 ≅ 0.6666667

Spelled result in words is two thirds.### How do we solve fractions step by step?

- Divide: 1/2 : 3/4 = 1/2 · 4/3 = 1 · 4/2 · 3 = 4/6 = 2 · 2 /2 · 3 = 2/3

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/4 is 4/3) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 2 gives 2/3.

In other words - one half divided by three quarters is two thirds.

#### 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 signs 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) |

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 /) has the same priority and then must evaluate from left to right.

## Fractions in word problems:

- Divide 13

Divide. Simplify your answer and write as an improper fraction or whole number. 14÷8/3 - What is 16

What is the qoutient of 11 over 12 divided by one-third? - Division by reciprocal

What is the corresponding illustration/model of 7÷ 1/3? - A lawn

Sean and his sister, Betty, equally mowed 8/9th the total area of a lawn. What fraction of the total area did each of them mow? - A seller

A seller sliced some pizza into eights. After selling 57 slices,7 slices were left. How many whole pizza did the vendor slice? - Barbara 2

Barbara get 6 pizzas to divide equally among 4 people. How much of a pizza can each person have? - Chocolate division

If I have 4/5 of a chocolate bar and I wanted to split it up evenly among 3 people, how much would everyone get? - Candy bars

Sheldon has 4 candy bars and wants to split them among his five friends. If each person gets the same amount, what part of the candy bar will each friend get? Show your work. - A baker 3

A baker made 3 cakes which were cut into eighths ready for individual sale. A customer bought 3 slices or ⅜ of one of the 8 cakes. How many slices were left for sale? - A reciprocal

What is the reciprocal for 4/3? ("RECIPROCAL" is the math word for when we FLIP a fraction..Example: the reciprocal of 3/4 is 4/3.) - Four people

Four people want waffles for breakfast. There are 6 waffles left. How can 6 waffles be shared equally among 4 people? How much does each person get? Draw a picture and write a division expression to model the problem.

more math problems »