Textbook Question
Add or subtract as indicated. Write answers in lowest terms as needed.2/9 + 5/9
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0. Review of Algebra
Exponents
1:20 minutesProblem 55
Textbook Question
Add or subtract as indicated. Write answers in lowest terms as needed. 7/12 + 1/12
Verified step by step guidance1
Identify the denominators of the fractions. Here, both fractions have the denominator 12.
Since the denominators are the same, you can add the numerators directly: \(\frac{7}{12} + \frac{1}{12} = \frac{7 + 1}{12}\).
Add the numerators: \$7 + 1 = 8$, so the fraction becomes \(\frac{8}{12}\).
Simplify the fraction \(\frac{8}{12}\) by finding the greatest common divisor (GCD) of 8 and 12.
Divide both numerator and denominator by the GCD to write the fraction in 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:
1mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Adding Fractions with Like Denominators
When adding fractions that have the same denominator, you simply add the numerators and keep the denominator unchanged. For example, 7/12 + 1/12 equals (7 + 1)/12, which is 8/12.
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Rationalizing Denominators
Simplifying Fractions to Lowest Terms
After performing addition or subtraction, fractions should be simplified by dividing the numerator and denominator by their greatest common divisor (GCD). For instance, 8/12 can be simplified to 2/3 by dividing both by 4.
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Understanding Numerators and Denominators
A fraction consists of a numerator (top number) representing parts taken and a denominator (bottom number) representing total equal parts. Recognizing their roles helps in correctly performing operations like addition or subtraction.
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