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\nSolving Equations Involving Fractions\n

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\nHow do we solve equations that involve fractions? Before we get started, I am assuming you already know how to solve equations by balancing: you must do the exact same thing to both sides. So lets have a look at how to solve equations...\nHow do we solve equations that involve fractions? Before we get started, I am assuming you already know how to solve equations by balancing: you must do the exact same thing to both sides. So lets have a look at how to solve equations involving fractions. EXAMPLE: (2f + 8) / 3 = 6. The whole of 2f plus 8 has been divided by 3. We need to move this ‘3’ first so that everything is on the same level. No denominators. So multiply both sides by 3. Multiplying by 3 and dividing by 3 on the left hand side means that the 3's cancel each other on the left hand side. This leaves a simple linear equation to solve. 2f + 8 = 6 X 3 which simplifies to 2f + 8 = 18. Solve it: 2f = 10, so answer f=5. Easy! As always, check your answer. Substitute f=5 into the original question. EXAMPLE 2: (20 + 7e) / 2 = 2e + 7. Start by multiplying both sides by 2 to remove the '2' from the denominator on the left hand side. This means the times by 2 and divide by 2 on the left hand side cancel each other out. We now have this equation: 20 + 7e = 2(2e + 7). Expand the bracket on the right hand side and solve. 20 + 7e = 4e + 14. Simplify and solve: 3e = -6. Answer: e = -2.\n
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Resource Details

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Educator Rating
Not yet Rated
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Media Length
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2:23
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Grade
6th - Higher Ed
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Subjects
Math
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Instructional Videos
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Source:
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\nFuseSchool - Global Education\n\n
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Date
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2017
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Language
English
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Audiences
For Teacher Use
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Fine Print: Educational Use
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Concepts

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sides, time, expressions, equations, solving equations, algebraic fractions
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maths, digital learning, online learning, learn maths, school maths, mathematics, gcse maths, high school maths, maths help, free online education, fuseschool, fuse school, algebra, change the subject, subject, formula, rearrange, rearranging, rearranging algebra, solve, factorise, expand, opposites, solving, solving algebra, solving fractions, solve equations, brackets, check, thing, video, level, multiply, divide, side, answer, start, multiplying, carry, normal, ready, denominator
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Best For: Explaining a topic
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\n\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Solving Equations Involving Fractions\" href=\"/subscription/new\">\"Solving\n\n
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