# 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 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) |

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. - Denominator 2

The denominator of a fraction is five, and the numerator is 7. Write the fraction. - Someone

Someone ate 1/10 of a cake, leaving only 9/10. If you eat 2/3 of the cake left, how much of a whole cake will you have eaten? - Out 550,000.00

Out of 550,000.00, an amount of 325,000.00 was used. What fraction of the total amount was used? - A quarter

A quarter of the number 72 is: - Evaluate expression

Calculate the value of the expression z/3 - 2 z/9 + 1/6, for z = 2 - Extinction 5552

Of the 65 freshwater fish species in Europe, 45 are at risk of extinction. In the basic form, express which parts of the fish are in danger of extinction. - Children 9

There are 11 children in a room. Six of the children are girls. What fraction of the children are girls? - Dea makes

Dea makes 18 out of 27 shots in a basketball game. Which decimal represents the fraction of shots Dea makes? - A class IV.A

In a class, there are 15 girls and 30 boys. What fraction of the class represents the boys? - A company

A company has 860 employees, of which 500 are female. Write a fraction to represent the female employees in the company. - Unsatisfactory 5604

In 1995, 360 fish samples were tested for contamination with foreign substances, and 138 samples were unsatisfactory. Write a fraction of what part of the fish did not meet the limits. - 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 the simplest form, what fraction of students eat lunch in the cafeteria? - Fruit basket

If there are seven apples and five oranges in the basket, what fraction of oranges are in the fruit basket? - Reduce fractions

The following fraction is reduced to its lowest terms except one. Which of these: A. 98/99 B. 73/179 C. 1/250 D. 81/729

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