Operations with 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 convert a mixed number to an improper fraction?

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To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

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What is the process for multiplying mixed numbers?

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1. Convert each mixed number to an improper fraction. 2. Multiply the numerators together. 3. Multiply the denominators together. 4. Simplify if necessary.

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How do you subtract fractions with different denominators?

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Find a common denominator, convert the fractions, and then subtract the numerators.

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How do you add a negative number to a positive number?

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When adding a negative number to a positive number, subtract the absolute value of the negative number from the positive number.

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How do you divide fractions?

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To divide fractions, multiply by the reciprocal of the divisor.

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