Table of contents

0. Review of Algebra4h 18m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 22m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Exponents

College Algebra

0. Review of Algebra

Exponents

Previous problemNext problem

1:19 minutes

Problem 44

Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. (2/5)/30

Verified step by step guidance

Start by rewriting the division of fractions problem: \( \frac{\frac{2}{5}}{30} \).

Recognize that dividing by a number is the same as multiplying by its reciprocal. So, rewrite the expression as \( \frac{2}{5} \times \frac{1}{30} \).

Multiply the numerators together: \( 2 \times 1 = 2 \).

Multiply the denominators together: \( 5 \times 30 = 150 \).

Simplify the resulting fraction \( \frac{2}{150} \) by finding the greatest common divisor of 2 and 150, and divide both the numerator and the denominator by this number.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above

Video duration:

Play a video:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Fraction Division

Dividing fractions involves multiplying by the reciprocal of the divisor. For example, to divide 2/5 by 30, you can rewrite it as (2/5) * (1/30). This process simplifies the operation and allows for easier calculation.

Lowest Terms

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. To express a fraction in lowest terms, you can divide both the numerator and denominator by their greatest common divisor (GCD). This ensures the fraction is simplified as much as possible.

Multiplication of Fractions

When multiplying fractions, you multiply the numerators together and the denominators together. For instance, in the operation (2/5) * (1/30), you would calculate 2 * 1 for the numerator and 5 * 30 for the denominator, resulting in a new fraction that can then be simplified.