Addition and Subtraction of Rational Numbers

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What is a rational number?

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A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

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How do you add fractions with different denominators?

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To add fractions with different denominators, find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators.

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What is the least common multiple (LCM)?

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The least common multiple (LCM) of two or more numbers is the smallest multiple that is evenly divisible by all the numbers.

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What is the greatest common divisor (GCD)?

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The greatest common divisor (GCD) of two or more numbers is the largest number that divides all of them without leaving a remainder.

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How do you subtract fractions?

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To subtract fractions, ensure they have a common denominator, convert them if necessary, and then subtract the numerators.

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What does it mean to rename a fraction in lowest terms?

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Renaming a fraction in lowest terms means simplifying it to its smallest equivalent fraction by dividing the numerator and denominator by their GCD.

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What is an improper fraction?

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An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

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What is a mixed number?

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A mixed number is a whole number combined with a proper fraction, such as 2 1/2.

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How do you convert an improper fraction to a mixed number?

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To convert an improper fraction to a mixed number, divide the numerator by the denominator to find the whole number, and use the remainder as the new numerator.

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