The cancellation method, also known as cross-canceling or simplification, involves canceling common factors in fractions to simplify the multiplication. Let's use this method to solve the given multiplications:
1. (1/4) * (2/7)
To simplify, look for common factors between the numerators and denominators. In this case, there are no common factors other than 1, so the multiplication remains as:
(1/4) * (2/7) = (1 * 2) / (4 * 7) = 2/28 = 1/14
2. (2/9) * (7/8)
Again, look for common factors between the numerators and denominators. In this case, there are no common factors other than 1, so the multiplication remains as:
(2/9) * (7/8) = (2 * 7) / (9 * 8) = 14/72 = 7/36
Using the cancellation method, we have simplified the fractions and obtained the same results as before.
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Answer:
The cancellation method, also known as cross-canceling or simplification, involves canceling common factors in fractions to simplify the multiplication. Let's use this method to solve the given multiplications:
1. (1/4) * (2/7)
To simplify, look for common factors between the numerators and denominators. In this case, there are no common factors other than 1, so the multiplication remains as:
(1/4) * (2/7) = (1 * 2) / (4 * 7) = 2/28 = 1/14
2. (2/9) * (7/8)
Again, look for common factors between the numerators and denominators. In this case, there are no common factors other than 1, so the multiplication remains as:
(2/9) * (7/8) = (2 * 7) / (9 * 8) = 14/72 = 7/36
Using the cancellation method, we have simplified the fractions and obtained the same results as before.