Adding and Subtracting Fractions

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Questions and Answers

What is the first step in adding fractions with different denominators?

  • Find the least common multiple (LCM) of the denominators and convert both fractions to have the LCM as the new denominator (correct)
  • Add the numerators and keep the denominator the same
  • Simplify the fraction, if possible
  • Subtract the numerators and keep the denominator the same

What is the difference between adding and subtracting fractions?

  • In subtracting fractions, the denominators are multiplied
  • In subtracting fractions, the numerators are multiplied
  • In subtracting fractions, the LCM is not needed
  • The process is the same, except the numerators are subtracted instead of added (correct)

What is the result of multiplying two fractions?

  • A fraction with a numerator that is the product of the numerators and a denominator that is the product of the denominators (correct)
  • A fraction with a numerator that is the LCM of the numerators and a denominator that is the LCM of the denominators
  • A fraction with a numerator that is the difference of the numerators and a denominator that is the difference of the denominators
  • A fraction with a numerator that is the sum of the numerators and a denominator that is the sum of the denominators

How do you divide one fraction by another?

<p>Invert the second fraction and then multiply (C)</p> Signup and view all the answers

What is an equivalent fraction?

<p>A fraction that has the same value but different numbers (B)</p> Signup and view all the answers

How do you find an equivalent fraction?

<p>Multiply or divide both the numerator and denominator by the same number (A)</p> Signup and view all the answers

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Study Notes

Adding Fractions

  • To add fractions, the denominators must be the same. If not, find the least common multiple (LCM) of the denominators and convert both fractions to have the LCM as the new denominator.
  • Add the numerators (numbers on top) and keep the denominator the same.
  • Simplify the fraction, if possible.

Subtracting Fractions

  • To subtract fractions, the denominators must be the same. If not, find the LCM of the denominators and convert both fractions to have the LCM as the new denominator.
  • Subtract the numerators (numbers on top) and keep the denominator the same.
  • Simplify the fraction, if possible.

Multiplying Fractions

  • Multiply the numerators (numbers on top) and multiply the denominators.
  • Simplify the fraction, if possible.

Dividing Fractions

  • To divide fractions, invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
  • Multiply the numerators (numbers on top) and multiply the denominators.
  • Simplify the fraction, if possible.

Equivalent Fractions

  • Equivalent fractions are fractions that have the same value but different numbers.
  • To find an equivalent fraction, multiply or divide both the numerator and denominator by the same number.
  • Example: 1/2 is equivalent to 2/4 or 3/6, because they all have the same value.
  • Equivalent fractions can be used to compare fractions with different denominators.

Adding Fractions

  • To add fractions, the denominators must be the same, if not, find the least common multiple (LCM) of the denominators and convert both fractions to have the LCM as the new denominator.
  • Add the numerators (numbers on top) and keep the denominator the same.
  • Simplify the fraction, if possible.

Subtracting Fractions

  • To subtract fractions, the denominators must be the same, if not, find the LCM of the denominators and convert both fractions to have the LCM as the new denominator.
  • Subtract the numerators (numbers on top) and keep the denominator the same.
  • Simplify the fraction, if possible.

Multiplying Fractions

  • Multiply the numerators (numbers on top) and multiply the denominators.
  • Simplify the fraction, if possible.

Dividing Fractions

  • To divide fractions, invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
  • Multiply the numerators (numbers on top) and multiply the denominators.
  • Simplify the fraction, if possible.

Equivalent Fractions

  • Equivalent fractions are fractions that have the same value but different numbers.
  • To find an equivalent fraction, multiply or divide both the numerator and denominator by the same number.
  • Example: 1/2 is equivalent to 2/4 or 3/6, because they all have the same value.
  • Equivalent fractions can be used to compare fractions with different denominators.

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