The calculator performs an easy and progressed operations v fractions, expressions v fractions linked with integers, decimals, and mixed numbers. It likewise shows in-depth step-by-step information about the portion calculation procedure. Solve troubles with two, three, or more fractions and numbers in one expression.

You are watching: Divide: 3 8 ÷ 5 12 the quotient is

Divide: 3/8 : 5/12 = 3/8 · 12/5 = 3 · 12/8 · 5 = 36/40 = 4 · 9 /4 · 10 = 9/10 splitting two fountain is the exact same as multiplying the an initial fraction by the reciprocal worth of the second fraction. The first sub-step is to discover the reciprocal (reverse the numerator and denominator, reciprocal of 5/12 is 12/5) the the second fraction. Next, main point the 2 numerators. Then, main point the 2 denominators. In the adhering to intermediate step, cancel by a usual factor the 4 offers 9/10. In various other words - 3 eighths split by 5 twelfths = ripe tenths.
Rules for expressions with fractions: Fractions - usage the slash “/” in between the numerator and also denominator, i.e., because that five-hundredths, enter 5/100. If you space using blended numbers, be certain to leaving a single space in between the totality and portion part.The cut separates the molecule (number above a portion line) and also denominator (number below).Mixed numerals (mixed fountain or blended numbers) compose as non-zero essence separated by one room and fraction i.e., 12/3 (having the exact same sign). An instance of a an unfavorable mixed fraction: -5 1/2.Because cut is both indicators for portion line and also division, we recommended usage colon (:) together the operator of division fractions i.e., 1/2 : 3.Decimals (decimal numbers) enter with a decimal suggest . and they are immediately converted to fountain - i.e. 1.45.The colon : and slash / is the prize of division. Have the right to be provided to divide blended numbers 12/3 : 43/8 or deserve to be used for write complex fractions i.e. 1/2 : 1/3.An asterisk * or × is the symbol because that multiplication.Plus + is addition, minus authorize - 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• subtracting fractions: 2/3 - 1/2• multiplying fractions: 7/8 * 3/9• separating Fractions: 1/2 : 3/4• indexes of fraction: 3/5^3• fountain exponents: 16 ^ 1/2• including fractions and also mixed numbers: 8/5 + 6 2/7• separating integer and also fraction: 5 ÷ 1/2• complex fractions: 5/8 : 2 2/3• decimal come fraction: 0.625• fraction to Decimal: 1/4• fraction to Percent: 1/8 %• compare fractions: 1/4 2/3• multiply a fraction by a whole number: 6 * 3/4• square source of a fraction: sqrt(1/16)• reduce or simple the fraction (simplification) - splitting the numerator and also denominator that a portion by the exact same non-zero number - indistinguishable fraction: 4/22• expression v brackets: 1/3 * (1/2 - 3 3/8)• compound fraction: 3/4 of 5/7• fountain multiple: 2/3 that 3/5• division to find the quotient: 3/5 ÷ 2/3The calculator follows popular rules for order that operations. The most usual mnemonics for remembering this stimulate of operations are: PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction BODMAS - Brackets, the or Order, Division, Multiplication, Addition, Subtraction.

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GEMDAS - Grouping icons - brackets (), Exponents, Multiplication, Division, Addition, Subtraction. be careful, constantly do multiplication and division prior to addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then need to evaluate from left come right.

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