Quotients {fraction} {simple fraction} {common fraction} {ordinary fraction} {ratio of terms} have top expression {numerator} {antecedent, ratio} divided by bottom expression {denominator, fraction} {consequent, ratio}. Term can divide another term: a/b, x/y, and a*x^b / c*y^d.
simplification
Simplify fraction by factoring same number, variable, coefficient, or polynomial from both numerator and denominator. Then cancel factor. After all common factors cancel, smallest possible denominator {least common denominator} remains, and numerator is simplest.
addition
To add or subtract two simple fractions, first make denominators equal by multiplying each-fraction top and bottom by other-fraction denominator. Then add resulting numerators. Simplify fraction by factoring out terms, to make smallest possible denominator.
multiplication
To multiply two fractions, multiply numerators and multiply denominators. Simplify resulting fraction.
division
To divide two fractions, multiply top-fraction numerator by bottom-fraction denominator to make numerator. Multiply top-fraction denominator by bottom-fraction numerator to make denominator. Simplify fraction by factoring.
rational numbers
Integers divided by integers make rational numbers.
Mathematical Sciences>Arithmetic>Fraction
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Date Modified: 2022.0224