Worksheet (with Solutions): Adding and Subtracting Mixed Numbers With Unlike Denominators

Section A: Multiple Choice Questions

Q1: What is the sum of \(2\frac{1}{3}\) and \(1\frac{1}{4}\)?
(a) \(3\frac{7}{12}\)
(b) \(3\frac{2}{7}\)
(c) \(3\frac{5}{12}\)
(d) \(3\frac{1}{2}\)

Q2: What is \(5\frac{2}{5} - 2\frac{1}{10}\)?
(a) \(3\frac{3}{10}\)
(b) \(3\frac{1}{5}\)
(c) \(3\frac{1}{2}\)
(d) \(3\frac{2}{5}\)

Q3: Which of the following shows the correct first step when adding \(4\frac{1}{6}\) and \(3\frac{2}{3}\)?
(a) Find the LCD of 6 and 3
(b) Add 4 and 3 to get 7
(c) Convert both mixed numbers to improper fractions
(d) Multiply the denominators

Q4: What is \(6\frac{1}{4} - 2\frac{5}{8}\)?
(a) \(3\frac{5}{8}\)
(b) \(4\frac{5}{8}\)
(c) \(3\frac{3}{8}\)
(d) \(4\frac{1}{8}\)

Q5: What is the sum of \(1\frac{2}{3}\) and \(2\frac{3}{4}\)?
(a) \(4\frac{5}{12}\)
(b) \(3\frac{5}{12}\)
(c) \(4\frac{1}{12}\)
(d) \(3\frac{5}{7}\)

Q6: What is \(7\frac{1}{6} - 3\frac{2}{3}\)?
(a) \(3\frac{1}{2}\)
(b) \(4\frac{1}{2}\)
(c) \(3\frac{3}{6}\)
(d) \(4\frac{1}{6}\)

Q7: The least common denominator of \(\frac{3}{8}\) and \(\frac{5}{12}\) is:
(a) 24
(b) 96
(c) 20
(d) 48

Q8: What is \(5\frac{3}{10} + 2\frac{1}{5}\)?
(a) \(7\frac{1}{2}\)
(b) \(7\frac{4}{15}\)
(c) \(7\frac{5}{10}\)
(d) \(7\frac{2}{5}\)

Section B: Fill in the Blanks

Section C: Word Problems