Solving Equations Containing Fractions. Vocabulary The reciprocal of a fraction: changes the places of the numerator and denominator. (Flip the fraction.

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Presentation transcript:

Solving Equations Containing Fractions

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.

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.

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.

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.

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.

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.

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.