HW: Worksheet Aim: How do we solve fractional equation?

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Presentation transcript:

HW: Worksheet Aim: How do we solve fractional equation? Do Now: 1. Solve for x: 2. Solve for x: 3. Solve for x: HW: Worksheet

There are two ways to solve combine the fractions on the left side of equation, then cross multiply.

2) Multiply the LCD of each fraction to 2) Multiply the LCD of each fraction to eliminate the denominator then solve for x. The LCD is 6x 2 1 1 1 1

Step 1: Find the LCD Example: Hint: Factor the denominator Therefore…. This denominator can be factored into 3(x – 2) Therefore….

Step 2: Multiply both sides of equation by LCD Step 2: Multiply both sides of equation by LCD. This eliminates the fraction.

Step 3: Solve for x

Step 3: Solve for x

The LCD for this equation is complicated, therefore we should combine two fractions on the left then do cross-multiply

Now, you do these on your own.

Example #3: A car travels 500 miles in the same time that a train travels 300 miles. The speed of the car is 30 miles per hour faster than the speed of the train. Find the speed of the car and the train.

Remember the formula d = rt where: r = rate of speed d = distance t = time Since both vehicles travel the same amount of time, solve the formula for t.

Identify the variables that you are going to use. Let r = speed of the train How do you represent the speed of the car? Let r +30 = speed of the car 12

Car’s time = Train’s time

How would you solve this equation? Cross-multiply

Make sure that you answer the question. The car travels at a speed of 75mph The train travels at a speed of 45 mph