Question

What is the solution to w - 9 1/2 = 1524 1/26 1/223 1/25 1/2​

Answer 1

Answer:

Option A

Step-by-step explanation:

Convert mixed fraction to improper fraction.

$\sf w - 9\dfrac{1}{2}=15\\\\ w - \dfrac{19}{2}=15$

Now isolate 'w'

$\sf w = 15 +\dfrac{19}{2}\\\\= \dfrac{15*2}{1*2}+\dfrac{19}{2}\\\\=\dfrac{30}{2}+\dfrac{19}{2}\\\\=\dfrac{30+19}{2}\\\\=\dfrac{49}{2}\\\\= 24\dfrac{1}{2}$

Answer 2

Answer:

$\huge\boxed{\bf\:w = \frac{49}{2} = 24\frac{1}{2} = 24.5}$

Step-by-step explanation:

$w - 9 \frac { 1 } { 2 } = 15$

Multiply both the sides of the equation by 2.

$2w-\left(9\times 2+1\right)=30 \\2w-\left(18+1\right)=30 \\2w-19=30$

Bring $19$ to the left hand side of the equation.

$2w=30+19 \\2w=49 \\\boxed{\bf\:w = \frac{49}{2} = 24\frac{1}{2} = 24.5}$

$\rule{150pt}{2pt}$