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The first step when multiplying fractions is to multiply the two numerators. The second step is to multiply the two denominators. Finally, simplify the new fractions. The fractions can also be simplified before multiplying by factoring out common factors in the numerator and denominator.
To multiply fractions with whole numbers, write each fraction as an improper fraction. To do so, multiply the whole number by the denominator of the fraction, then add the numerator. Place this new number over the old denominator.
In a fraction, the denominator represents the total number of parts a whole is made into and the numerator represents the number of parts chosen. A fraction is multiplied by another fraction means the first fraction is further divided into smaller parts and these smaller parts are chosen.
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Properties for Fractions
Commutative Property for Fraction Addition and Multiplication. Inverse Property for Fraction Multiplication where a and b are nonzero. The fraction is called the multiplicative inverse of (or reciprocal) and vice versa.
To multiply fractions: Simplify the fractions if not in lowest terms. Multiply the numerators of the fractions to get the new numerator. Multiply the denominators of the fractions to get the new denominator.
Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products. ... Consider the first example, the distributive property lets you "distribute" the 5 to both the 'x' and the '2'.
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