x - the number
\(x+\frac{1}{4}x+\frac{7}{16}x=-13 \frac{1}{2} \\
\frac{16}{16}x+\frac{4}{16}x+\frac{7}{16}x=-\frac{27}{2} \\
\frac{27}{16}x=-\frac{27}{2} \\
x=-\frac{27}{2} \times \frac{16}{27} \\
x=-\frac{1}{2} \times \frac{16}{1} \\
x=-8\)
The number is -8.
