# Fraction calculator

This calculator subtracts two fractions. First, convert all fractions to a common denominator when fractions have different denominators. Find Least Common Denominator (LCD) or multiply all denominators to find a common denominator. When all denominators are the same, simply subtract the numerators and place the result over the common denominator. Then simplify the result to the lowest terms or a mixed number.

## The result:

### 5/6 - 7/10 = 2/15 ≅ 0.1333333

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

- Subtract: 5/6 - 7/10 = 5 · 5/6 · 5 - 7 · 3/10 · 3 = 25/30 - 21/30 = 25 - 21/30 = 4/30 = 2 · 2/2 · 15 = 2/15

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(6, 10) = 30. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 10 = 60. In the following intermediate step, cancel by a common factor of 2 gives 2/15.

In other words - five sixths minus seven tenths is two fifteenths.

### 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

• square root of a fraction: sqrt(1/16)

• 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:

- Divided 24811

Walgal cake was divided into thirds. Peter ate one piece. How much of the cake did he eat, and how much cake was left? - Cooking classes

Ms. Wright's two cooking classes are making a total of 60 sweet potato pies. Each pie requires 2 1/4 sweet potatoes. Her first class makes 1/3 of the total number of pies needed. Exactly how many sweet potatoes will her second class need in order to make - ABC gifts

Arthur had 30 dollars to spend on three gifts. He spent 9 3/4 dollars on gift A and 4 1/2 dollars on gift B. How much money did he have left for gift C? - Players - baseball

There are 20 players on each two baseball teams. If 2/5 of the players on team 1 miss practice and 1/4 of the players on team two miss practice, how many more players from team 1 missed practice than team 2?

- Twenty-minute 6665

The truck driver left Prague at 7:20 a.m., took a twenty-minute break in Poděbrady, and reached Hradec Kralové at 8:55 a.m. How long did the whole journey take (including a break)? How long was the ride itself? - A water tank

Tom has a water tank that holds 5 gallons of water. Tom uses water from a full tank to fill six bottles holding 16 ounces and a pitcher holding 1/2 gallon. How many ounces of water are left in the water tank? - Operations 14061

Please substitute such numbers for x so that the indicated numerical operations are correct / first, and the last x must be identical. Thank you. Example: x: 2 = x -2 y: 5 = y + 7 z * 4 = z + 6

more math problems »

Last Modified: October 9, 2024