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jamie_23
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I am in grade 11 mathematics...i got this as a Thinking & Problem Solving Q..can someone simplify this, step by step?
4 - 1/x
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4 + 1/x
THANKS!
4 - 1/x
---------
4 + 1/x
THANKS!
I haven't been taught how the clear the fractions.
Simplifying should never change the outcome of an equation. You can therefore check if your simplification is correct by letting x equal any number. The original and simplified equations will produce the same answer if the simplification is correct.jamie_23 said:ok..the way i thought was taking the negative reciprocal of the denominator..
making it (4-1/x)(4-1/x)
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(4+1/x)(4-1/x)
=16-8 1/x+1/x^2
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16-1/x^2
does that work?
I haven't been taught how the clear the fractions.
jamie_23 said:I am in grade 11 mathematics...i got this as a Thinking & Problem Solving Q..can someone simplify this, step by step?
4 - 1/x
---------
4 + 1/x
THANKS!
Simplifying algebra involves reducing, combining, and rearranging algebraic expressions to their simplest form. This is done by applying the rules of algebra, such as the distributive property, combining like terms, and using order of operations.
Simplifying algebra allows us to solve equations and expressions more easily and efficiently. It also helps us to identify patterns and relationships between different algebraic expressions, making it a valuable tool in problem-solving and critical thinking.
To simplify algebraic expressions, you must follow the order of operations (PEMDAS) and apply the rules of algebra, such as combining like terms and using the distributive property. It is also helpful to use basic algebraic identities, such as the commutative and associative properties, to rearrange the terms in an expression.
One example of simplifying algebra is reducing the expression 3x + 2x + 5x to its simplest form. First, we can combine the like terms (3x, 2x, and 5x) by adding their coefficients, resulting in 10x. Therefore, the simplified form of the expression is 10x.
Some tips for simplifying algebra include identifying and canceling out common factors, using the distributive property to remove parentheses, and combining like terms. It is also important to carefully follow the order of operations and double-check your work to avoid any mistakes.