Add and subtract mixed numbers with like denominators

Learning Objectives Identify and understand the components of a mixed number. Add mixed numbers with like denominators, regrouping the fractional part when necessary. Subtract mixed numbers with like denominators, including problems requiring borrowing from the whole number. Convert improper fractions to mixed numbers and vice-versa. Simplify fractional parts of mixed numbers to their simplest form. Solve real-world problems involving the addition and subtraction of mixed numbers with like denominators. Imagine you're baking cookies and need to combine 2 1/4 cups of flour with another 1 3/4 cups. How much flour do you have in total? 🍪 In this lesson, you'll learn how to add and subtract mixed numbers that have the same bottom number (denominator). This skill is s...

TermDefinitionExample Mixed NumberA number made up of a whole number and a proper fraction (e.g., 3 1/2).In 4 2/5, '4' is the whole number and '2/5' is the proper fraction. Whole NumberA number without fractions or decimals (e.g., 0, 1, 2, 3...).In the mixed number 7 1/2, the '7' is the whole number part. Proper FractionA fraction where the numerator (top number) is smaller than the denominator (bottom number) (e.g., 1/4, 2/3).1/2, 3/5, and 7/10 are all proper fractions because the top number is smaller than the bottom number. Improper FractionA fraction where the numerator is greater than or equal to the denominator (e.g., 5/4, 7/3).7/4 is an improper fraction because 7 is greater than 4. It can be written as the mixed number 1 3/4. Like DenominatorsFraction...

Adding Mixed Numbers with Like Denominators $a \frac{b}{d} + c \frac{e}{d} = (a+c) + \frac{b+e}{d}$ (then simplify/regroup if $\frac{b+e}{d}$ is improper) To add mixed numbers with like denominators, first add the whole number parts, then add the fractional parts. If the fractional sum is an improper fraction, convert it to a mixed number and add its whole part to the existing whole number sum. Always simplify the fraction if needed. Subtracting Mixed Numbers with Like Denominators For $a \frac{b}{d} - c \frac{e}{d}$: If $b < e$, borrow 1 from $a$ to make $a-1 \frac{b+d}{d}$, then subtract: $(a-1-c) + \frac{b+d-e}{d}$ To subtract mixed numbers with like denominators, first subtract the fractional parts. If the first fraction is smaller than the second, you must 'borr...