You are watching: Find the difference: 7 7/8 - 3 1/4 = ?

conversion a mixed number 3 1/4 to a wrong fraction: 3 1/4 = 3 1/4 = 3 · 4 + 1/4 = 12 + 1/4 = 13/4To find a brand-new numerator:a) multiply the totality number 3 by the denominator 4. Entirety number 3 equally 3 * 4/4 = 12/4b) include the answer from previous action 12 come the molecule 1. New numerator is 12 + 1 = 13c) create a previous prize (new molecule 13) end the denominator 4.Three and one quarter is thirteen soldier Conversion a blended number 2 7/8 come a not correct fraction: 2 7/8 = 2 7/8 = 2 · 8 + 7/8 = 16 + 7/8 = 23/8To uncover a new numerator:a) main point the totality number 2 by the denominator 8. Totality number 2 equally 2 * 8/8 = 16/8b) add the answer native previous step 16 to the numerator 7. New numerator is 16 + 7 = 23c) write a previous price (new numerator 23) over the denominator 8.Two and seven eighths is twenty-three eighths

Rules for expressions v fractions: Fractions - simply use a forward slash in between the numerator and also denominator, i.e., for five-hundredths, go into

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

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

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

**-5 1/2**.

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

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

**1.45**.

**The colon :**and slash

**/**is the symbol of division. Can be used to divide mixed numbers

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

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

**An asterisk ***or

**×**is the symbol for multiplication.

**Plus +**is addition, minus sign

**-**is subtraction and

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

**The exponentiation/power prize 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• indexes of fraction: 3/5^3• fractional exponents: 16 ^ 1/2• adding 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 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 entirety number: 6 * 3/4• square source of a fraction: sqrt(1/16)• to reduce or simplifying the portion (simplification) - dividing the numerator and also denominator that a fraction by the very 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• fractions multiple: 2/3 that 3/5• division to discover the quotient: 3/5 ÷ 2/3The calculator follows well-known rules because that order that operations**. The most usual mnemonics because that remembering this bespeak 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 icons - brackets (), Exponents, Multiplication, Division, Addition, Subtraction.

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

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