# Calculator dividing integer and fraction

This calculator divides an integer (or whole number) by a fraction. To divide an integer by a fraction, multiply the denominator by the integer and place it over the numerator. Then simplify the result to the lowest terms or a mixed number.

### 5 ÷ 1/2 = 10/1 = 10

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

- Divide: 5 : 1/2 = 5/1 · 2/1 = 5 · 2/1 · 1 = 10/1 = 10

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 1/2 is 2/1) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

In other words - five divided by one half is ten.

#### 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:

- A class IV.A

In a class there are 15 girls and 30 boys. What fraction of the class represents the boys? - One Saturday

One Saturday evening there are 40 girls 25 boys 18 women and 17 men at a cinema. What fraction are girls? - Using money

Out of 550,000.00 given to a school and amount of 325,000.00 was used. What fraction of the total amount was used? - Lowest terms 2

The expression 4/12 can be expressed in its lowest term as 1/3. What is 3/15 expressed in its lowest term? - Zdeněk

Zdeněk picked up 15 l of water from a 100-liter full-water barrel. Write a fraction of what part of Zdeněk's water he picked. - The parsley

Milka's grandmother planted 12 rows of vegetables. 1/6 of the rows are carrots, the rest is parsley. How many rows are planted with parsley? - Andy gets

Andy gets 5 out 15 question wrong in his math test. What fraction of the question does andy answer correctly. - Babies

There are 2 adults 2 children and 4 babies on a bus. What fraction of the people are babies? - Evaluate expression

Calculate the value of the expression z/3 - 2 z/9 + 1/6, for z = 2 - In the cafeteria

There are 18 students in Jacob’s homeroom. Six students bring their lunch to school. The rest eat lunch in the cafeteria. In simplest form, what fraction of students eat lunch in the cafeteria? - Children 9

There are 11 children in a room. 6 of the children are girls. What fraction of the children are girls?

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