You are watching: 3/4 divided by 4/7

counter a combined number 1 3/4 to 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 whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4b) add the answer native previous action 4 come the molecule 3. New numerator is 4 + 3 = 7c) write a previous answer (new molecule 7) over the denominator 4.One and three quarters is seven quarters Divide: 4/7 : 7/4 = 4/7 · 4/7 = 4 · 4/7 · 7 = 16/49 dividing two fountain is the very same as multiplying the an initial fraction by the reciprocal value of the second fraction. The an initial sub-step is to find the mutual (reverse the numerator and also denominator, mutual of 7/4 is 4/7) the the 2nd fraction. Next, multiply the 2 numerators. Then, multiply the 2 denominators. In the next intermediate step, the portion result can not be additional simplified through canceling.In native - four sevenths split by 7 quarters = sixteen forty-ninths.

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

**5/100**. If you space using combined numbers, be sure to leaving a single space in between the totality and fraction part.

**The cut separates the numerator (number above a fraction line) and denominator (number below).Mixed numerals**(mixed fountain or blended numbers) create as non-zero integer separated by one room and fraction i.e.,

**12/3**(having the very same sign). An instance of a an adverse mixed fraction:

**-5 1/2**.

**Because slash is both indications for portion line and division, us recommended use colon (:) together the operator of division fractions i.e., 1/2 : 3**.

**Decimals (decimal numbers) get in with a decimal point .**and also they are automatically converted to fountain - i.e.

**1.45**.

**The colon :**and also slash

**/**is the symbol of division. Deserve to be used to divide blended numbers

**12/3 : 43/8**or deserve to be used for write complicated fractions i.e.

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

**An asterisk ***or

**×**is the symbol for multiplication.

**Plus +**is addition, minus authorize

**-**is subtraction and

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

**The exponentiation/power price is ^**- because that example:

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

**Examples: • including fractions: 2/4 + 3/4• individually fractions: 2/3 - 1/2• multiplying fractions: 7/8 * 3/9• separating Fractions: 1/2 : 3/4• indices of fraction: 3/5^3• fractional exponents: 16 ^ 1/2• including fractions and also mixed numbers: 8/5 + 6 2/7• splitting integer and fraction: 5 ÷ 1/2• facility fractions: 5/8 : 2 2/3• decimal to fraction: 0.625• fraction to Decimal: 1/4• portion to Percent: 1/8 %• comparing fractions: 1/4 2/3• multiplying a portion by a entirety number: 6 * 3/4• square source of a fraction: sqrt(1/16)• reducing or simple the fraction (simplification) - dividing the numerator and denominator of a fraction by the same non-zero number - tantamount fraction: 4/22• expression through brackets: 1/3 * (1/2 - 3 3/8)• link fraction: 3/4 the 5/7• fractions multiple: 2/3 the 3/5• divide to find the quotient: 3/5 ÷ 2/3The calculator follows renowned rules because that order of operations**. The most typical mnemonics for remembering this stimulate 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.

See more: What Does 100 Grams Look Like ? What Does 100 Calories Look Like

**GEMDAS**- Grouping symbols - base (), Exponents, Multiplication, Division, Addition, Subtraction.

**be careful, always do multiplication and also division**before

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