Topic 4.5: Write and Solve Equations 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 to solve an equation with rational numbers?

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To solve an equation with rational numbers, isolate the variable on one side of the equation by performing inverse operations, ensuring to maintain the equality.

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What does it mean to isolate a variable in an equation?

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Isolating a variable means rearranging the equation so that the variable is on one side by itself, allowing you to find its value.

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The first step is to subtract 3 from both sides of the equation to isolate the term with the variable.

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How do you check if your solution to an equation is correct?

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To check if your solution is correct, substitute the solution back into the original equation and verify if both sides are equal.

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What is the importance of the denominator in a fraction?

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The denominator indicates how many equal parts the whole is divided into; it cannot be zero, as division by zero is undefined.

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What is a mixed number?

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How do you add two fractions with different denominators?

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

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What is the least common multiple (LCM)?

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The least common multiple is the smallest multiple that two or more numbers share.