By factor decomposition and algebra properties we conclude that the fraction 42 / 49 is equivalent to the fraction 6 / 7.
<h3>Which pair of fractions is equivalent to each other?</h3>
According to the statement, we have the equation of a fraction and we need to find the expression by simplify the former expression. In this situation we must use factor decomposition and algebra properties to make simplification effective:
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42 / 49 Given
(2 × 3 × 7) / (7 × 7) Factor decomposition
(2 × 3) / 7 × (7 / 7) Commutative and associative properties / Multiplication of fractions
6 / 7 × 1 Definition of division / Existence of the multiplicative inverse
6 / 7 Modulative property / Result
By factor decomposition and algebra properties we conclude that the fraction 42 / 49 is equivalent to the fraction 6 / 7.
To learn more on fractions: brainly.com/question/10354322
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