Comparing Fractions: Equivalent Fractions

Comparing Fractions

Equivalent Fractions Definition

• Two fractions are equivalent if they have the same value, even though they may not have the same numbers.
• Equivalent fractions have the same numerator-to-denominator ratio.

Identifying Equivalent Fractions

• To identify equivalent fractions, check if the numerator and denominator can be multiplied or divided by the same number to get another fraction.
• For example: 1/2 is equivalent to 2/4, because both have the same numerator-to-denominator ratio.

Comparing Fractions

• To compare fractions, find the equivalent fractions with the same denominator.
• Compare the numerators to determine which fraction is greater, less than, or equal to the other.
• For example: 1/4 vs 2/8, find the equivalent fractions with the same denominator (8):
  • 1/4 = 2/8
  • 2/8 = 2/8
  • Since 2 is greater than 2, 2/8 is greater than 1/4.

Rules for Comparing Fractions

• If the denominators are the same, the fraction with the greater numerator is greater.
• If the numerators are the same, the fraction with the smaller denominator is greater.
• If the fractions have different denominators, find the equivalent fractions with the same denominator before comparing.

Equivalent Fractions

• Equivalent fractions have the same value despite different numbers, with the same numerator-to-denominator ratio.

Identifying Equivalent Fractions

• Multiply or divide both numerator and denominator by the same number to identify equivalent fractions.
• Example: 1/2 is equivalent to 2/4 due to the same numerator-to-denominator ratio.

Comparing Fractions

• Find equivalent fractions with the same denominator to compare fractions.
• Compare numerators to determine which fraction is greater, less than, or equal.
• Example: 1/4 vs 2/8, find equivalent fractions with the same denominator (8):
  • 1/4 = 2/8
  • 2/8 = 2/8
  • Since 2 is greater than 2, 2/8 is greater than 1/4.

Rules for Comparing Fractions

• If denominators are the same, the fraction with the greater numerator is greater.
• If numerators are the same, the fraction with the smaller denominator is greater.
• If fractions have different denominators, find equivalent fractions with the same denominator before comparing.

Learn about equivalent fractions, their definition, and how to identify them by checking the numerator-to-denominator ratio and multiplying or dividing by the same number.