Multiplying Fractions with Cross Cancellation Tips
Learn how to multiply fractions efficiently by utilizing cross cancellation techniques. Understand the steps, such as finding common factors, dividing numerators and denominators, and multiplying to simplify fractions. Discover how cross cancelling can be done multiple times for smoother calculations.
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Presentation Transcript
Multiplying Fractions with Cross Cancellation Cross Cancellation - dividing a numerator and a denominator by the same number
Sometimes you can cross-cancel more than once. You can cancel two times. Step 1. Find common factors of the numerators and denominators 3 and 15 have a common factor of 3, 6 and 10 have a common factor of 2. Step 2. Divide the numerators and denominators by the common factors. Write the new numbers. Step 3. Multiply the new numerators and denominators.
Cross Cancellation Multiply 3 x 1 Step 1. Look for the same number in the numerator and denominator. 3 is in the numerator and denominator. 4 3 Multiply. Use cross cancellation first. 1. 1/5 x 5/6 2. 3/8 x 1/3 3. 1/8 x 8/9 4. 4/5 x 3/4 Step 2. Divide the numerator and denominator by 3. Write the new numerator and denominator. Step 3. Multiply the new numerator and denominators. The Product of 3/4 times 1/3 is 1/4.
Remember! You can use cross cancellation even when you do not see the same number in the numerator and denominator. Look for the other common factor.
Example Multiply 1 x 4 2 5 Step 1. Find a common factor of a numerator and denominator. 2 and 4 have a common factor of 2. Step 2. Divide the denominator 2 and the numerator 4 by the common factor. Write the new numerator and denominator. Step 3. Multiply the new numerators and denominators.
Sometimes you can cross-cancel more than once. You can cancel two times. Step 1. Find common factors of the numerators and denominators 3 and 15 have a common factor of 3, 6 and 10 have a common factor of 2. Step 2. Divide the numerators and denominators by the common factors. Write the new numbers. Step 3. Multiply the new numerators and denominators.
