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Published byAbel Briggs Modified over 5 years ago

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Solving Equations Containing Fractions

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Vocabulary The reciprocal of a fraction: changes the places of the numerator and denominator. (Flip the fraction upside down) Is also called the multiplicative inverse. A number times its reciprocal equals 1.

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Ex. 1) The goal is to get 1x alone. To do this, multiply both sides by, which is the reciprocal of. Reduce fractions if possible. 2 1 Multiply fractions, and simplify.

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Ex. 2) The goal is to get 1x alone. To do this, multiply both sides by, which is the reciprocal of. Reduce fractions if possible. 2 Multiply fractions, and simplify.

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Ex. 3) Subtract 4 from both sides to get the x term alone. Multiply both sides by 5 to get 1x alone. Note: so 5 is the reciprocal of.

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Ex. 4) Add 2 to both sides to get the x term alone. Multiply both sides by, which is the reciprocal of. Reduce fractions if possible. 6 1 Multiply fractions, and simplify.

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Ex. 5) Subtract 25 from both sides to get the x term alone. Multiply both sides by, which is the reciprocal of. Reduce fractions if possible. 2 1 Multiply fractions, and simplify.

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Ex. 6) Subtract 15 from both sides to get the x term alone. Multiply both sides by, which is the reciprocal of. Reduce fractions if possible. Multiply fractions, and simplify.

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