7/9-0,4-4/15

Let's evaluate the expression step by step: Expression: \( \frac{7}{9} - 0.4 - \frac{4}{15} \) 1. Convert all numbers to fractions with a common denominator or to decimal form for easier calculation. - \( \frac{7}{9} \) remains as is. - \( 0.4 \) is equivalent to \( \frac{2}{5} \). - \( \frac{4}{15} \) remains as is. 2. To subtract these, it's easiest to convert all to decimals: - \( \frac{7}{9} \approx 0.7778 \) - \( 0.4 \) stays as 0.4 - \( \frac{4}{15} \approx 0.2667 \) Now, perform the subtraction: \( 0.7778 - 0.4 - 0.2667 \) Calculations: - \( 0.7778 - 0.4 = 0.3778 \) - \( 0.3778 - 0.2667 \approx 0.1111 \) **Final answer: approximately 0.1111** If you'd prefer an exact fraction, you can convert all to a common denominator: - Convert to twelfths: \( \frac{7}{9} = \frac{28}{36} \) \( 0.4 = \frac{2}{5} = \frac{14}{35} \) — but better to convert all to denominator 180 (LCM of 9, 5, 15): - \( \frac{7}{9} = \frac{140}{180} \) - \( 0.4 = \frac{2}{5} = \frac{72}{180} \) - \( \frac{4}{15} = \frac{48}{180} \) Now perform subtraction: \[ \frac{140}{180} - \frac{72}{180} - \frac{48}{180} = \frac{140 - 72 - 48}{180} = \frac{20}{180} = \frac{1}{9} \] **Exact simplified answer: \(\frac{1}{9}\)** **Summary:** - Approximate decimal result: **0.1111** - Exact fraction: **\(\frac{1}{9}\)**