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conversion a mixed number 1 3/4 to a improper fraction: 1 3/4 = 1 3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4To discover a brand-new numerator:a) multiply the entirety number 1 by the denominator 4. Totality number 1 equally 1 * 4/4 = 4/4b) include the answer native previous action 4 to the molecule 3. Brand-new numerator is 4 + 3 = 7c) create a previous price (new numerator 7) over the denominator 4.One and three soldier is seven quarters Divide: 4/7 : 7/4 = 4/7 · 4/7 = 4 · 4/7 · 7 = 16/49 separating two fractions is the very same as multiply the very first fraction through the reciprocal worth of the 2nd fraction. The very first sub-step is to discover the mutual (reverse the numerator and denominator, reciprocal of 7/4 is 4/7) that 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 further simplified by canceling.In other words - four sevenths split by seven quarters = sixteen forty-ninths.

Rules because that expressions through fractions: Fractions - merely use a front slash in between the numerator and also denominator, i.e., because that five-hundredths, go into

**5/100**. If you space using blended numbers, be certain to leave a single space in between the whole and portion part.

**The slash separates the molecule (number above a fraction line) and denominator (number below).Mixed numerals**(mixed fountain or mixed numbers) write as integer separated by one space and fraction i.e.,

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

**-5 1/2**.

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

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

**1.45**.

**The colon :**and also slash

**/**is the price of division. Deserve to be offered to divide blended numbers

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

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

**An asterisk ***or

**×**is the symbol for multiplication.

**Plus +**is addition, minus authorize

**-**is subtraction and also

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

**The exponentiation/power symbol 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• exponentiation of fraction: 3/5^3• spring exponents: 16 ^ 1/2• adding fractions and mixed numbers: 8/5 + 6 2/7• dividing integer and also fraction: 5 ÷ 1/2• complicated fractions: 5/8 : 2 2/3• decimal come fraction: 0.625• fraction to Decimal: 1/4• portion to Percent: 1/8 %• comparing fractions: 1/4 2/3• multiplying a portion 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 that a fraction by the very same non-zero number - equivalent fraction: 4/22• expression with brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 the 5/7• fractions multiple: 2/3 the 3/5• division to find the quotient: 3/5 ÷ 2/3The calculator follows popular rules because that order that operations**. The most typical mnemonics for remembering this order of work 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 signs - 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 need to evaluate native left come right.