Question

The sum of a negative number 1/4 of the negative number and 7/16 of the negative number is -13 1/2. what is the negative number?

Answer 1

x - the number


`x+(1)/(4)x+(7)/(16)x=-13 (1)/(2) \\ \\ (16)/(16)x+(4)/(16)x+(7)/(16)x=-(13 * 2+1)/(2) \\ \\ (16+4+7)/(16)x=-(27)/(2) \\ \\ (27)/(16)x=-(27)/(2) \\ \\ x=-(27)/(2) * (16)/(27) \\ \\ x=-(16)/(2) * (27)/(27) \\ \\ x=-8 * 1 \\ \\ x=-8`

The number is -8.