The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

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## Result:

### 3 4/5 = 3 4/5 = 3 · 5 + 4/5 = 15 + 4/5 = 19/5 = 3 4/5 = 3.8

Spelled result in words is nineteen fifths (or three and four fifths).

Conversion a mixed number 3 4/5 to a improper fraction: 3 4/5 = 3 4/5 = 3 · 5 + 4/5 = 15 + 4/5 = 19/5To find a new numerator:a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/5 = 15/5b) Add the answer from previous step 15 to the numerator 4. New numerator is 15 + 4 = 19c) Write a previous answer (new numerator 19) over the denominator 5.Three and four fifths is nineteen fifths

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 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., **12/3** (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 the 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**.

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**The colon :** and slash **/** is the symbol of division. Can be used to divide mixed numbers **12/3 : 43/8** 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: • adding fractions: 2/4 + 3/4• subtracting fractions: 2/3 – 1/2• multiplying fractions: 7/8 * 3/9• dividing Fractions: 1/2 : 3/4• exponentiation of fraction: 3/5^3• 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• multiplying a fraction by a whole number: 6 * 3/4• 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• 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 ÷ 2/3The calculator follows well-known rules for 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.

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** 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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