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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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Interest is the amount charged by a lender to a borrower. It means that if you borrow some money from a bank, you have to pay back more than the money you borrowed. Equally, if you have a savings account and deposit some money, the bank will pay you interest as a sort of thank you for saving with th
In this video we are going to look at a few different ways in which plant hormones can be used.
Plant growth hormones (auxins) can be used as selective weedkillers. The selective weedkillers contain growth hormones, that cause the weeds to grow really quickly. This means the weed is absorbing nutr
Algebraic fractions are simply fractions with algebraic expressions either on the top, bottom or both. We treat them in the same way as we would numerical fractions.
In this video we look at how to simplify algebraic fractions, and how to add and subtract them.
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