Add and Subtract Fractions with Like Denominators

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

What does it mean for fractions to have like denominators?

Back

Fractions have like denominators when they share the same denominator, allowing for direct addition or subtraction of their numerators.

Front

How do you add fractions with like denominators?

Back

To add fractions with like denominators, keep the denominator the same and add the numerators. For example, \(\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}\).

Front

How do you subtract fractions with like denominators?

Back

To subtract fractions with like denominators, keep the denominator the same and subtract the numerators. For example, \(\frac{a}{c} - \frac{b}{c} = \frac{a-b}{c}\).

Front

What is the first step in solving a word problem involving fractions?

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The first step is to identify the fractions involved and understand the context of the problem.

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What is the importance of simplifying fractions?

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Simplifying fractions makes them easier to understand and work with, and it can help in finding equivalent fractions.

Front

What is an example of a word problem involving the addition of fractions?

Back

If Eric has \(\frac{1}{2}\) gallon of juice and pours \(\frac{1}{4}\) gallon for his family, how much juice does he have left? (Answer: \(\frac{1}{4}\) gallon left.)

Front

What is an example of a word problem involving the subtraction of fractions?

Back

If Eric starts with \(\frac{3}{4}\) gallon of juice and drinks \(\frac{1}{2}\) gallon, how much juice does he have left? (Answer: \(\frac{1}{4}\) gallon left.)

Front

What is the process of finding a common denominator?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators of the fractions involved.

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How can you check your work after adding or subtracting fractions?

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You can check your work by ensuring the fractions are simplified and that the final answer makes sense in the context of the problem.