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: \(\frac{1}{9}\)