Multiply or divide as indicated. Write answers in lowest terms as needed. (3/20)*(5/21)
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Identify the fractions to be multiplied: and .
Multiply the numerators: .
Multiply the denominators: .
Write the product as a single fraction: .
Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and divide both by the GCD.
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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, in the expression (a/b) * (c/d), the result is (a*c)/(b*d). This process simplifies the multiplication of fractions into a straightforward operation, allowing for easy calculation.
A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. To simplify a fraction, you can divide both the numerator and denominator by their greatest common divisor (GCD). This ensures the fraction is expressed in its simplest form, making it easier to understand and work with.
Dividing fractions involves multiplying by the reciprocal of the divisor. For instance, to divide (a/b) by (c/d), you multiply (a/b) by (d/c). This method transforms the division into a multiplication problem, simplifying the calculation and maintaining the integrity of the fractions involved.