Explore BrainMass
Share

Explore BrainMass

    Fractions, inequalities, and cross-multiplication

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    When we have two fractions on either sides of an equality or inequality symbol, we can multiply the numerator on the right hand side (RHS) with the denominator of the left hand side (LHS) and the numerator of LHS with denominator of RHS. The process of multiplying across the symbol and down is referred to as cross-multiplication. Of course, when we have only one fraction on one side, we multiply only one side. The basic idea is to eliminate fractions.

    a/b = c/d implies a*d = b*c
    x/y = z implies x = y*z

    With examples, discuss how cross-multiplication works in the context of inequalities

    © BrainMass Inc. brainmass.com October 9, 2019, 6:43 pm ad1c9bdddf
    https://brainmass.com/math/consumer-mathematics/fractions-inequalities-and-cross-multiplication-96012

    Solution Preview

    Cross multiplication works the same in inequalities as it does in equalities. I'll explain how to cross-multiply in a general sense (using the letters a-d like in your equality example), and I'll show some examples using numbers.

    Start off with the inequality a/b < c/d (everything we're doing with < holds true for >)
    Multiply both sides by b: a < bc/d
    Multiply both ...

    Solution Summary

    The solution explains how to solve an inequality involving fractions in a general way, and using specific examples.

    $2.19