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How 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.
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The study of finches led to the development of one of the most important scientific theories of all time.
In December 1831 a naturalist called Charles Darwin boarded the HMS Beagle, bound on a surveying voyage of South America. Whilst the ship and crew carried out coastline surveys, Darwin was fre

Learn the basics about halogenation within the alkanes and alkenes part of organic chemistry.
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This video is part of 'Chemistry for

The Mean | Statistics & Probability
Bob is training for a race and is timing himself to check he’s getting faster.
Times (in minutes):
51 48 45 44 47
50 44 47 45 43
49 44 43 44
His times are a bit inconsistent.
He wants to find his average, to get a better understanding of what time he is likel