(2 2/9 +11/12-1 3/4)•7 1/5=7.2

Let's break this down step by step to verify the calculation and find the solution. 1. **Convert all mixed numbers to improper fractions:** - \( 2 \frac{2}{9} = \frac{2 \times 9 + 2}{9} = \frac{18 + 2}{9} = \frac{20}{9} \) - \( 1 \frac{3}{4} = \frac{1 \times 4 + 3}{4} = \frac{4 + 3}{4} = \frac{7}{4} \) - \( 7 \frac{1}{5} = \frac{7 \times 5 + 1}{5} = \frac{35 + 1}{5} = \frac{36}{5} \) 2. **Rewriting the equation using improper fractions:** \[ \left( \frac{20}{9} + \frac{11}{12} - \frac{7}{4} \right) \cdot \frac{36}{5} \] 3. **Finding a common denominator for the fractions in the parentheses:** - The least common multiple (LCM) of 9, 12, and 4 is 36. 4. **Convert each fraction to have a denominator of 36:** - \( \frac{20}{9} = \frac{20 \times 4}{9 \times 4} = \frac{80}{36} \) - \( \frac{11}{12} = \frac{11 \times 3}{12 \times 3} = \frac{33}{36} \) - \( \frac{7}{4} = \frac{7 \times 9}{4 \times 9} = \frac{63}{36} \) 5. **Perform the addition and subtraction:** \[ \frac{80}{36} + \frac{33}{36} - \frac{63}{36} = \frac{80 + 33 - 63}{36} = \frac{50}{36} = \frac{25}{18} \] 6. **Now multiply by \( \frac{36}{5} \):** \[ \frac{25}{18} \cdot \frac{36}{5} = \frac{25 \cdot 36}{18 \cdot 5} = \frac{900}{90} = 10 \] The left side evaluates to 10, not 7.2. Thus, the equation \((2 \frac{2}{9} + \frac{11}{12} - 1 \frac{3}{4}) \cdot 7 \frac{1}{5} = 7.2\) is incorrect. The correct multiplication results in 10.