You are watching: 16 divided by 4/7

conversion a combined number 1 3/4 come a not correct fraction: 1 3/4 = 1 3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4To find brand-new numerator:a) main point the entirety number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4b) add the answer from previous action 4 to the numerator 3. Brand-new numerator is 4 + 3 = 7c) write a previous answer (new numerator 7) over the denominator 4.One and also three soldier is 7 quarters Divide: 4/7 : 7/4 = 4/7 · 4/7 = 4 · 4/7 · 7 = 16/49 dividing two fractions is the exact same as multiply the first fraction by the reciprocal value of the 2nd fraction. The very first sub-step is to find the mutual (reverse the numerator and also denominator, mutual of 7/4 is 4/7) of the second fraction. Next, multiply the two numerators. Then, main point the 2 denominators. In the following intermediate step, the fraction result can not be additional simplified through canceling.In indigenous - 4 sevenths split by 7 quarters = sixteen forty-ninths.

Rules for expressions v fractions: Fractions - usage the slash “/” between the numerator and denominator, i.e., because that five-hundredths, enter

**5/100**. If you room using combined numbers, be sure to leave a solitary space in between the entirety and portion part.

**The slash separates the numerator (number over a fraction line) and denominator (number below).Mixed numerals**(mixed fountain or mixed numbers) write as non-zero creature separated by one space and fraction i.e.,

**12/3**(having the same sign). An example of a an unfavorable mixed fraction:

**-5 1/2**.

**Because slash is both indicators for fraction line and division, we recommended use colon (:) as the operator of department fractions i.e., 1/2 : 3**.

**Decimals (decimal numbers) enter with a decimal allude .**and they are immediately converted to fountain - i.e.

**1.45**.

**The colon :**and slash

**/**is the price of division. Deserve to be supplied to divide combined numbers

**12/3 : 43/8**or can be provided for write complicated fractions i.e.

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

**An asterisk ***or

**×**is the symbol because that multiplication.

**Plus +**is addition, minus authorize

**-**is subtraction and also

**()<>**is mathematical parentheses.

**The exponentiation/power price is ^**- for example:

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

**Examples: • including fractions: 2/4 + 3/4• subtracting fractions: 2/3 - 1/2• multiply fractions: 7/8 * 3/9• splitting Fractions: 1/2 : 3/4• exponentiation of fraction: 3/5^3• fountain exponents: 16 ^ 1/2• adding fractions and mixed numbers: 8/5 + 6 2/7• dividing integer and also fraction: 5 ÷ 1/2• complex fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• portion to Decimal: 1/4• fraction to Percent: 1/8 %• comparing fractions: 1/4 2/3• multiply a fraction by a whole number: 6 * 3/4• square root of a fraction: sqrt(1/16)• reduce or simple the fraction (simplification) - splitting the numerator and also denominator the a fraction by the exact same non-zero number - equivalent fraction: 4/22• expression through brackets: 1/3 * (1/2 - 3 3/8)• link fraction: 3/4 of 5/7• fountain multiple: 2/3 that 3/5• division to discover the quotient: 3/5 ÷ 2/3The calculator follows famous rules for order the operations**. The most common mnemonics because that remembering this order of operations are:

**PEMDAS**- Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

**BEDMAS**- Brackets, Exponents, Division, Multiplication, Addition, Subtraction

**BODMAS**- Brackets, the or Order, Division, Multiplication, Addition, Subtraction.

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**GEMDAS**- Grouping icons - brackets (), Exponents, Multiplication, Division, Addition, Subtraction.

**it is in careful, always do multiplication and also division**before

**addition and subtraction**. Part operators (+ and -) and (* and also /) has the exact same priority and also then must evaluate native left to right.