Multiply or divide as indicated. Write answers in lowest terms as needed. (21/8)∙(4/7)

Verified step by step guidance

1. Identify the operation: You need to multiply the two fractions \(\frac{21}{8}\) and \(\frac{4}{7}\).
2. Multiply the numerators together: \(21 \times 4\) to get the new numerator.
3. Multiply the denominators together: \(8 \times 7\) to get the new denominator.
4. Write the product as a single fraction: \(\frac{21 \times 4}{8 \times 7}\).
5. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it to write the answer in lowest terms.

Key Concepts

Multiplication of Fractions

To multiply fractions, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. For example, (a/b) * (c/d) = (a*c) / (b*d).

Simplifying Fractions

After performing operations on fractions, simplify the result by dividing the numerator and denominator by their greatest common divisor (GCD) to write the fraction in lowest terms.

Understanding Numerators and Denominators

The numerator is the top part of a fraction representing how many parts are considered, while the denominator is the bottom part indicating the total number of equal parts. Correctly identifying these is essential for fraction operations.