To calculate \( 0.9 - \frac{5}{16} \):
Convert \( 0.9 \) to a fraction: \[ 0.9 = \frac{9}{10} \]
To subtract these fractions, we need a common denominator. The least common multiple of the denominators (10 and 16) is 80.
Convert \( \frac{9}{10} \) and \( \frac{5}{16} \) to have this common denominator: \[ \frac{9}{10} = \frac{9 \times 8}{10 \times 8} = \frac{72}{80} \] \[ \frac{5}{16} = \frac{5 \times 5}{16 \times 5} = \frac{25}{80} \]
Now, perform the subtraction: \[ \frac{72}{80} - \frac{25}{80} = \frac{72 - 25}{80} = \frac{47}{80} \]
The final result is: \[ 0.9 - \frac{5}{16} = \frac{47}{80} \]
For a decimal approximation, \( \frac{47}{80} \approx 0.5875 \).
Thus, \( 0.9 - \frac{5}{16} = \frac{47}{80} \) or approximately \( 0.5875 \).