Solving Fractional Equations

• Remove the constant first by doing the inverse operation

• Next, divide by the coefficient to get the variable alone

• 1 - fraction as a coefficient

• 2 - variable in the numerator

When you need to divide by a fraction, you MULTIPLY by the RECIPROCAL!!!

Reciprocal means to flip the fraction

• Remove constant FIRST!

• add 2 to both sides

• Now either divide by the fraction or multiply by the reciprocal

Before you can solve you must UNDO the fraction. The inverse of division is multiplication! Multiply by the denominator to undo the fraction

•  first, multiply both sides by 14

•  -28 = b-8

•  then add 8 to both sides

• -20 = b

• Fractions MUST have a common denominator before you can add or subtract.

• Need to find LCM

• Now create equivalent fractions

• Find LCM to create common denominators

• LCM = 12

• Now, decide what to multiply each denominator by to equal LCM

• Multiply numerator by same number

• Once you have equivalent fraction, you can proceed

• 9/12 + 2/12 = 11/12