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