Adding and Subtracting Mixed Numbers with Unlike Denominators

What is the first step in adding or subtracting fractions?

• To find a common denominator for the fractions involved.

• To convert the fractions to decimals.

• To multiply the numerators and denominators.

• To add the numerators and keep the denominators the same.

What is the importance of simplifying fractions?

• It makes fractions look more complex.

• It helps in finding equivalent fractions and makes them easier to understand and work with.

• It is only necessary for whole numbers.

• It has no real significance in mathematics.

What is a mixed number?

• A whole number combined with a proper fraction, such as 2 \frac{1}{3}.

• A number that is only a whole number without any fractions.

• A fraction that has a numerator larger than its denominator.

• A decimal number that represents a part of a whole.

What is the total amount of paint used if Sally used @@\frac{1}{8}@@ and @@\frac{2}{6}@@ gallons?

• @@\frac{11}{24}@@ gallons

• @@\frac{1}{2}@@ gallons

• @@\frac{3}{8}@@ gallons

• @@\frac{5}{12}@@ gallons

How do you find the difference in weight between two mixed numbers?

• Add the weights of both backpacks together.

• Subtract the weight of the lighter backpack from the weight of the heavier backpack.

• Multiply the weights of both backpacks together.

• Divide the weight of the heavier backpack by the weight of the lighter backpack.

What is a common denominator?

• A shared multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

• A number that is the same as the numerator of a fraction.

• The smallest number that can be divided by all denominators without a remainder.

• A term used to describe fractions that have different numerators.

How do you subtract mixed numbers with unlike denominators?

• 1. Convert mixed numbers to improper fractions, find a common denominator, and then add the fractions.

• 2. Convert mixed numbers to improper fractions, find a common denominator, subtract the fractions, and convert back to a mixed number if necessary.

• 3. Subtract the whole numbers first, then subtract the fractions without finding a common denominator.

• 4. Convert mixed numbers to improper fractions, multiply the fractions, and then convert back to a mixed number.

How do you add fractions with different denominators?

• 1. Find a common denominator, convert each fraction, add the numerators, and keep the common denominator.

• 2. Simply add the numerators and denominators directly.

• 3. Multiply the denominators and add the results together.

• 4. Subtract the smaller denominator from the larger one and use that as the new denominator.

How do you add mixed numbers with unlike denominators?

• 1. Convert mixed numbers to improper fractions, find a common denominator, add the fractions, and convert back to a mixed number if necessary.

• 2. Simply add the whole numbers and the fractions separately without finding a common denominator.

• 3. Subtract the fractions and then add the whole numbers together.

• 4. Multiply the denominators and add the numerators directly.