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.