Add and Subtract Rational Numbers (Fractions)

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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 formula for subtracting rational numbers?

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To subtract rational numbers, convert them to a common denominator, then subtract the numerators and keep the common denominator.

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What is the first step in adding or subtracting mixed numbers?

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Convert the mixed numbers to improper fractions before performing the addition or subtraction.

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

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Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

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What is the absolute value of a number?

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The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always non-negative.

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What is the distance formula on a number line?

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The distance between two numbers a and b on a number line is given by |a - b|.

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