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switch a combined number 1 2/3 come a not correct fraction: 1 2/3 = 1 2/3 = 1 · 3 + 2/3 = 3 + 2/3 = 5/3To discover a brand-new numerator:a) multiply the entirety number 1 by the denominator 3. Totality number 1 same 1 * 3/3 = 3/3b) add the answer from previous action 3 to the molecule 2. New numerator is 3 + 2 = 5c) create a previous answer (new molecule 5) end the denominator 3.One and also two thirds is 5 thirds conversion a mixed number 4 3/8 to a not correct fraction: 4 3/8 = 4 3/8 = 4 · 8 + 3/8 = 32 + 3/8 = 35/8To find a brand-new numerator:a) multiply the whole number 4 by the denominator 8. Entirety number 4 same 4 * 8/8 = 32/8b) add the answer native previous step 32 to the numerator 3. Brand-new numerator is 32 + 3 = 35c) create a previous answer (new numerator 35) end the denominator 8.Four and also three eighths is thirty-five eighths Divide: 5/3 : 35/8 = 5/3 · 8/35 = 5 · 8/3 · 35 = 40/105 = 5 · 8 /5 · 21 = 8/21 dividing two fractions is the exact same as multiply the very first fraction by the reciprocal worth of the second fraction. The first sub-step is to discover the mutual (reverse the numerator and denominator, mutual of 35/8 is 8/35) of the 2nd fraction. Next, multiply the 2 numerators. Then, main point the 2 denominators. In the following intermediate step, publication by a typical factor the 5 gives 8/21. In various other words - 5 thirds divided by thirty-five eighths = eight twenty-firsts.

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

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

**The slash separates the molecule (number over a portion line) and also denominator (number below).Mixed numerals**(mixed fractions or combined numbers) write as creature separated by one an are and portion i.e.,

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

**-5 1/2**.

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

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

**1.45**.

**The colon :**and also slash

**/**is the prize of division. Can be provided to divide blended numbers

**12/3 : 43/8**or deserve to be provided 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

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

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

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

**Examples: • adding fractions: 2/4 + 3/4• individually fractions: 2/3 - 1/2• multiplying fractions: 7/8 * 3/9• separating Fractions: 1/2 : 3/4• indexes of fraction: 3/5^3• spring exponents: 16 ^ 1/2• including fractions and mixed numbers: 8/5 + 6 2/7• separating integer and also fraction: 5 ÷ 1/2• facility fractions: 5/8 : 2 2/3• decimal come fraction: 0.625• portion to Decimal: 1/4• fraction to Percent: 1/8 %• to compare fractions: 1/4 2/3• multiplying a fraction by a whole number: 6 * 3/4• square source of a fraction: sqrt(1/16)• to reduce or simple the fraction (simplification) - separating the numerator and also denominator the a portion by the exact same non-zero number - indistinguishable fraction: 4/22• expression with brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 that 5/7• fountain multiple: 2/3 that 3/5• division to uncover the quotient: 3/5 ÷ 2/3The calculator follows renowned rules because that order that operations**. The most usual mnemonics because that remembering this bespeak of operations are:

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

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

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

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

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

**addition and subtraction**. Part operators (+ and -) and (* and /) has the same priority and then must evaluate from left come right.