# What is 3 5 6

## Calculator subtracting mixed number and fraction

### 13/5 - 5/6 = 2330 ≅ 0.7666667

Spelled result in words is twenty-three thirtieths.### Calculation steps

- Conversion a mixed number 1 35 to a improper fraction: 1 3/5 = 1 35 = 1 · 5 + 35 = 5 + 35 = 85

To find new numerator:

a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 55 = 55

b) Add the answer from previous step 5 to the numerator 3. New numerator is 5 + 3 = 8

c) Write previous answer (new numerator 8) over the denominator 5.

One and three fifths is eight fifths - Subtract: 85 - 56 = 8 · 65 · 6 - 5 · 56 · 5 = 4830 - 2530 = 48 - 2530 = 2330

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(5, 6) = 30. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 6 = 30. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - eight fifths minus five sixths = twenty-three thirtieths.

### Calculate the following expression:

#### Rules for expressions with fractions:

**Fractions**- use the slash “/” between the numerator and denominator, i.e. for five-hundredths enter

**5/100**. If you are using mixed numbers be sure to leave a single space between the whole number and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

**Mixed numerals**(mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e.,

**1 2/3**(having the same sign). An example of a negative mixed fraction:

**-5 1/2**.

Because slash is both signs for fraction line and division, we recommended use colon (:) as operator of division fractions i.e.,

**1/2 : 3**.

Decimals (decimal numbers) enter with a decimal point

**.**and they are automatically converted to fractions - i.e.

**1.45**.

Colon

**:**and slash

**/**is the symbol of division. Can be used to divide mixed numbers

**1 2/3 : 4 3/8**or can be used for write complex fractions i.e.

**1/2 : 1/3**.

An asterisk

*****or

**×**is the symbol for multiplication.

Plus

**+**is addition, minus sign

**-**is subtraction and

**()[]**is mathematical parentheses.

The exponentiation/power symbol is

**^**- for example:

**(7/8-4/5)^2**= (7/8-4/5)

^{2}

#### Examples:

• addition of fractions: 2/4 + 3/4• adds proper and improper fractions: 4/6+1/8

• adding fractions and mixed numbers: 8/5 + 6 2/7

• subtraction fractions: 2/3 - 1/2

• multiplying a fraction by another fraction - multiplication: 7/8 * 3/9

• division of fractions: 1/2 : 3/4

• dividing integer and fraction: 5 ÷ 1/2

• complex fractions: 5/8 : 2 2/3

• what is: 1/12 divided by 1/4

• converting a decimal to a fraction: 0.125 as a fraction

• comparing fractions: 1/4 2/3

• multiplying a fraction by a whole number: 6 * 3/4

• exponentiation of fraction: 3/5^3

• fractional exponents: 16 ^ 1/2

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

• reducing or simplifying the fraction (simplification) - dividing the numerator and denominator of a fraction by the same non-zero number - equivalent fraction: 4/22

• mixed numbers and decimals: 1.5 - 1 1/5

• subtracting mixed number and fraction: 1 3/5 - 5/6

• operations with mixed fractions: 8 1/5 + 9 1/2

• expression with brackets: 1/3 * (1/2 - 3 3/8)

• convert a fraction to a percentage: 3/8 %

• conversion between fractions and decimals: 5/8

• compound fraction: 3/4 of 5/7

• fractions multiple: 2/3 of 3/5

• divide to find the quotient: 3/5 ÷ 2/3

• change decimal into a fraction : 3.875

• viral Japanese fraction problem (order of operations with fractions) : 9 - 3 ÷ 1/3 + 1

Calculator follows well-known rules for

**order of operations**. 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.

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.

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