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.

You are watching: What is 8 divided by 7

## Result:

### (7/8) : (1/20) = 35/2 = 17 1/2 = 17.5

Spelled result in words is thirty-five halfs (or seventeen and one half).

Divide: 7/8 : 1/20 = 7/8 · 20/1 = 7 · 20/8 · 1 = 140/8 = 4 · 35 /4 · 2 = 35/2 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 1/20 is 20/1) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 4 gives 35/2. In other words – seven eighths divided by one twentieth = thirty-five halfs.

Rules for expressions with fractions: Fractions – simply use a forward 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 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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