Question

½+¼+⅛+⅙+1/16=1-X, then what number is x?

• A. -5/48
• B. 1/48
• C. -1/84
• D. -1/32

Answer 1

Answer:

A. -5/48

$X = -\frac{5}{48}$ is the value of $X$.

1. Find a Common Denominator

To add the fractions on the left side, find the Least Common Multiple (LCM) of the denominators (2, 4, 8, 6, and 16):

• LCM of 2, 4, 8, 6, 16 = 48

2. Convert and Add the Fractions

Rewrite each fraction with 48 as the denominator:

• $\frac{1}{2} = \frac{24}{48}$

• $\frac{1}{4} = \frac{12}{48}$

• $\frac{1}{8} = \frac{6}{48}$

• $\frac{1}{6} = \frac{8}{48}$

• $\frac{1}{16} = \frac{3}{48}$

Now, add them together:

$\frac{24 + 12 + 6 + 8 + 3}{48} = \frac{53}{48}$

3. Solve for X

Substitute the sum back into the original equation:
$\frac{53}{48} = 1 - X$

Rearrange the equation to isolate $X$:
$X = 1 - \frac{53}{48}$
$X = \frac{48}{48} - \frac{53}{48} = -\frac{5}{48}$