Multiply or divide as indicated. Write answers in lowest terms as needed. 2(2/3)*1(3/5)
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Identify the expression to be simplified: .
Multiply the whole numbers together: .
Multiply the fractions together: .
To multiply fractions, multiply the numerators together and the denominators together: .
Simplify the resulting fraction by canceling any common factors in the numerator and the denominator.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Multiplication of Fractions
To multiply fractions, you multiply the numerators together and the denominators together. For example, when multiplying 2/3 by 3/5, you calculate (2 * 3) / (3 * 5) = 6/15. This process simplifies the multiplication of fractions into a straightforward operation.
A mixed number consists of a whole number and a proper fraction, such as 1(3/5). To perform operations with mixed numbers, convert them into improper fractions first. For instance, 1(3/5) becomes (1 * 5 + 3)/5 = 8/5, which simplifies calculations.
Simplifying fractions involves reducing them to their lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD). For example, the fraction 6/15 can be simplified to 2/5 by dividing both the numerator and denominator by 3, making it easier to interpret and use in further calculations.