Comparing Fractions

What is a mixed number?

• A number that is only a whole number

• A number that combines a whole number and a fraction, such as 1 @@\frac{1}{2}@@

• A fraction that is greater than one

• A decimal number that represents a whole number

How do you use a shaded model to compare fractions?

• A shaded model visually shows the parts of a whole that are represented by fractions. The more shaded area indicates a larger fraction.

• A shaded model is used to add fractions by combining the shaded areas.

• A shaded model helps to find the least common denominator of fractions.

• A shaded model is only useful for whole numbers, not fractions.

How can you find an equivalent fraction?

• Add the numerator and denominator by the same number.

• Multiply or divide both the numerator and the denominator by the same non-zero number.

• Subtract the numerator from the denominator.

• Change the numerator to a decimal.

What is an equivalent fraction?

• Equivalent fractions are different fractions that represent the same value, such as @@\frac{1}{2}@@ and @@\frac{2}{4}@@.

• Equivalent fractions are fractions that add up to one, like @@\frac{1}{3}@@ and @@\frac{2}{3}@@.

• Equivalent fractions are fractions that have the same numerator, like @@\frac{3}{5}@@ and @@\frac{3}{7}@@.

• Equivalent fractions are fractions that are always whole numbers, like @@\frac{4}{2}@@ and @@\frac{8}{4}@@.

What does it mean if two fractions are equal?

• They represent the same part of a whole.

• They have the same numerator and denominator.

• They can be simplified to the same fraction.

• They are both greater than one.

What is the relationship between the numerators and denominators in comparing fractions?

• If the denominators are the same, compare the numerators. If the numerators are the same, compare the denominators.

• Always compare the numerators first, regardless of the denominators.

• The larger the denominator, the larger the fraction.

• Numerators should always be ignored when comparing fractions.

What is the significance of the denominator in a fraction?

• It indicates how many equal parts the whole is divided into.

• It represents the total value of the fraction.

• It shows the relationship between the numerator and the whole.

• It determines the size of the numerator.

How do you compare two fractions with different denominators?

• Convert them to equivalent fractions with a common denominator or convert them to decimals.

• Add the fractions together and compare the sums.

• Multiply the numerators and denominators of both fractions.

• Choose the fraction with the larger numerator.

What is the process to compare @@\frac{6}{12}@@ and @@\frac{3}{4}@@?

• Convert @@\frac{6}{12}@@ to an equivalent fraction with a denominator of 4: @@\frac{6}{12} = \frac{2}{4}@@. Then compare: @@\frac{2}{4} < \frac{3}{4}@@.

• Convert @@\frac{3}{4}@@ to an equivalent fraction with a denominator of 12: @@\frac{3}{4} = \frac{9}{12}@@. Then compare: @@\frac{6}{12} < \frac{9}{12}@@.

• Add @@\frac{6}{12}@@ and @@\frac{3}{4}@@ to find the larger fraction: @@\frac{6}{12} + \frac{3}{4} = \frac{12}{12}@@.

• Multiply @@\frac{6}{12}@@ by 2 to get @@\frac{12}{24}@@ and @@\frac{3}{4}@@ by 3 to get @@\frac{9}{12}@@. Then compare: @@\frac{12}{24} > \frac{9}{12}@@.

How do you compare two fractions with the same denominator?

• The fraction with the larger numerator is greater.

• The fraction with the smaller numerator is greater.

• Both fractions are equal if they have the same denominator.

• You cannot compare fractions with the same denominator.