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

1:20 minutes

Problem 55

Textbook Question

Add or subtract as indicated. Write answers in lowest terms as needed. 7/12 + 1/12

Verified step by step guidance

Identify the fractions to be added: \( \frac{7}{12} \) and \( \frac{1}{12} \).

Since the denominators are the same, you can add the numerators directly.

Add the numerators: \( 7 + 1 \).

Write the result over the common denominator: \( \frac{7 + 1}{12} \).

Simplify the fraction if necessary to ensure it is in its lowest terms.

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.

Common Denominators

To add or subtract fractions, they must have a common denominator. The denominator is the bottom part of a fraction, and it indicates how many equal parts the whole is divided into. In this case, both fractions, 7/12 and 1/12, already share the same denominator of 12, allowing for straightforward addition.

Adding Fractions

When adding fractions with a common denominator, you simply add the numerators (the top parts of the fractions) while keeping the denominator the same. For example, in the expression 7/12 + 1/12, you would add 7 and 1 to get 8, resulting in 8/12 as the sum.

Lowest Terms

Expressing a fraction in lowest terms means simplifying it to its simplest form, where the numerator and denominator have no common factors other than 1. In the case of 8/12, both 8 and 12 can be divided by 4, simplifying the fraction to 2/3, which is its lowest terms.