Add and subtract mixed numbers: word problems

Learning Objectives Identify keywords in word problems that indicate addition or subtraction of mixed numbers. Convert mixed numbers to improper fractions and vice versa to facilitate calculations. Find a common denominator for fractions within mixed numbers. Accurately add mixed numbers in a word problem context, simplifying the sum. Accurately subtract mixed numbers in a word problem context, including regrouping when necessary, and simplifying the difference. Write a clear, complete answer to a word problem involving mixed numbers, including appropriate units. Ever wonder how much pizza is left after a party, or how much fabric you need for a project? 🍕 Sometimes, things aren't just whole numbers, and that's where mixed numbers come in handy! In this lesson, y...

TermDefinitionExample Mixed NumberA number that combines a whole number and a fraction.3 \frac{1}{2} (three and a half) Improper FractionA fraction where the numerator (top number) is greater than or equal to the denominator (bottom number).\frac{7}{2} (seven halves) Common DenominatorA shared denominator for two or more fractions, which is necessary before you can add or subtract them.For \frac{1}{2} and \frac{1}{3}, a common denominator is 6 (so they become \frac{3}{6} and \frac{2}{6}) NumeratorThe top number in a fraction, which tells you how many parts you have.In \frac{3}{4}, the numerator is 3. DenominatorThe bottom number in a fraction, which tells you how many equal parts make up the whole.In \frac{3}{4}, the denominator is 4. Word ProblemA math problem presented in a story or rea...

Adding Mixed Numbers 1. Find a common denominator for the fractions. 2. Add the fractional parts. 3. Add the whole number parts. 4. Simplify the sum if needed. Use this rule when a word problem asks for a total, sum, or how much 'in all' when combining quantities. If the fractional sum is an improper fraction, convert it to a mixed number and add the whole part to the existing whole number. Subtracting Mixed Numbers 1. Find a common denominator for the fractions. 2. If the first fraction is smaller than the second, regroup (borrow 1 from the whole number and add it to the fraction). 3. Subtract the fractional parts. 4. Subtract the whole number parts. 5. Simplify the difference if needed. Apply this rule when a word problem asks for a difference, how much is '...