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QuestionHow do I solve 5/6 divided by 1 1/4?DonaganTop AnswererThat's 5/6 divided by 5/4, which is solved by multiplying 5/6 by 4/5, which is 20/30 or 2/3.
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QuestionHow do I solve 4/1/4 - 5/2?DonaganTop Answerer4/1/4 is 4 divided by ¼. That's equal to (4)(4) = 16. Then 16 - 5/2 = 16 - 2½ = 13½ or 27/2.
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QuestionHow do I solve 3 2/3 = 2 x/3?DonaganTop AnswererFirst change the left side to an improper fraction: 3 2/3 = 11/3. Then change the right side to (2x)/3. Now solve for x: 11/3 = 2x/3. Multiply both sides by 3, so that 11 = 2x, and x = 5½.
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QuestionHow do I find the least common denominator when working with complex fractions that include variables?ChristopherTop AnswererTo find the least common denominator (LCD), factor all denominators in the complex fraction, including variable expressions. Identify the unique factors and use the highest power for each. Multiply these factors to get the LCD, which is then used to simplify the complex fraction.
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QuestionHow do I solve (1/2) divided by (√2/2)?DonaganTop AnswererTo solve (1/2) ÷ (√2/2), multiply by the reciprocal: (1/2) × (2/√2) = 2/(2√2). Then, multiply both the numerator and denominator by √2 to get 2√2/4 = √2/2. Alternatively, approximate √2 as 1.414, so the expression becomes (0.5)/(0.707) = 0.707, which is approximately equal to √2/2.
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QuestionHow do I simplify (3 - 3/x) divided by (1/2 - 1/x)?DonaganTop AnswererTo simplify (3 - 3/x) ÷ (1/2 - 1/x), rewrite it as (3x - 3)/x ÷ (x - 2)/(2x). Multiply by the reciprocal to get [(3x - 3)/x] × [(2x)/(x - 2)] = (6x² - 6x)/(x² - 2x) = (6x - 6)/(x - 2).
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QuestionHow do I solve 47/9 divided by 8/5?DonaganTop Answerer(47/9) ÷ (8/5) = (47/9)(5/8) = 235/72 = 3 19/72.
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QuestionHow do you solve (6/x)/(x^3+x)?I_l1ke_gam3sCommunity AnswerThis cannot be solved because it's not an equation.
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QuestionHow do I simplify one that has a decimal instead?DonaganTop AnswererIf a number is expressed as a decimal rather than a fraction, no simplification is required.
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QuestionHow do I solve x-(1/3) / 3-(1/x)?DonaganTop AnswererSolving means finding the value of the variable, so you can't solve this expression, but you can simplify it. Multiply the full fraction by (3x / 3x). [x - (1/3)] / [3 - (1/x)](3x / 3x) = (3x² - x) / (9x - 3) = x(3x - 1) / 3(3x - 1) = x/3.
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QuestionHow do I solve ((1/x)+1)/((1/x^2)-1)?DonaganTop AnswererYou won't solve it, you'll simplify it. Multiply the full fraction by (x²/x²): [(1/x) + 1] / [(1/x²) - 1](x² / x²) = (x + x²) / (1 - x²) = x(1 + x) / (1 - x)(1 + x) = x / (1 - x).
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QuestionHow do you solve x/1+(1/x)?DonaganTop AnswererThat expression cannot be solved or simplified.
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QuestionHow do you solve 1/2 divided by square root 3 over 6?DonaganTop Answerer(1/2) / (√3 / 6) = (1/2)(6 / √3) = 6 / 2√3 = 3 / √3. Now rationalize the denominator by multiplying the fraction by (√3 / √3) : (3 / √3)(√3 / √3) = (3√3) / (√3)(√3) = (3√3) / 3 = √3.
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QuestionHow to solve 19/19/6?DonaganTop AnswererFirst we identify the numerator as 19 and the denominator as 19/6. When we divide by a fraction, we multiply the numerator by the reciprocal of the denominator. Thus, (19)(6/19) = 6.
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QuestionX- 1/(x+1) /(x-1) I tried using this method but got the wrong answer. Do I multiply each term by (x+1)(x-1)?DonaganTop AnswererNo. [(x-1) / (x+1)] / (x-1) = (x-1) / [(x+1)((x-1)] = 1 / (x+1).
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QuestionCan I cross cancel one expression from another expression of two different fractions before I flip my fraction and multiply? Say in the instance (2/14) / (10/2), can I cross cancel right at this point?DonaganTop AnswererThe first thing to do is always reducing or simplifying fractions to make things easier. In this case 2/14 reduces to 1/7, and 10/2 becomes 5. Thus you have 1/7 divided by 5, which is the same as multiplying 1/7 by 1/5, which is 1/35.
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QuestionHow do I solve x to the second power minus 1 divided by 3x-1?DonaganTop Answerer(x² - 1) is not evenly divisible by (3x - 1) and simply remains (x² - 1) / (3x - 1). It's not solvable, because it's not part of an equation.
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QuestionWhat is the rule for simplifying stacked fractions with an odd number terms, like a/b/c?DonaganTop AnswererThink of this as a numerator (a) being divided by a fraction (b/c). When you divide by a fraction, multiply the numerator by the reciprocal of the denominator. Thus you multiply (a) by (c/b) to get (ac)/b.
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QuestionHow do I solve 3/x - 1?DonaganTop AnswererSince this expression is not an equation, it can't be "solved." It can be simplified slightly: (3/x) - 1 = (3/x) - (x/x) = (3-x) / x. However, this form is not any more useful than the original expression, so there's really no point in making the change.
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QuestionHow do I solve (x/3 - 2) - x + 4/2 - x/6?DonaganTop AnswererYou can't "solve" this expression, but you can simplify it: (x/3) - (2) - (x) + (4/2) - (x/6) = (2x/6) - 2 - (6x/6) + (2) - (x/6) = [(2x - 6x - x) / 6] + (-2 + 2) = [(-5x) / 6] + 0 = -5x / 6. (This is not a solution. A solution is something like x = 10. Expressions can be "solved" only when they are equations.)
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QuestionHow do I solve 2/7 divided by 14?DonaganTop AnswererDividing by 14 is the same as multiplying by 1/14. (2/7) multiplied by (1/14) equals 2/98 or 1/49. Note that dividing a fraction by a whole number is the same as multiplying the denominator by that whole number.
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QuestionHow do I solve (1/3)6 + (2/3)6?DonaganTop AnswererLooking at it logically, just as one-third of a cake plus two-thirds of the same cake amounts to the full cake, one-third of 6 plus two-thirds of 6 equals 6. Doing the multiplication, (1/3)(6) = 6/3. (2/3)(6) = 12/3. 6/3 + 12/3 = 18/3 = 6.
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