Question

X * 3/16 - 10 1/4=2 3/16

Answer 1

$x \times \frac{3}{16} - 10 \frac{1}{4} = 2 \frac{3}{16}$

$\frac{3}{16} x - 10 \frac{1}{4} = 2 \frac{ 3 }{16}$

$\frac{3}{16} x = 2 \frac{3}{16} + 10 \frac{1}{4}$

$\frac{3}{16} x = 12 \frac{7}{16}$

$x = 12 \frac{7}{16} \div \frac{3}{16}$

$x = 66 \frac{1}{3}$

Answer 2

To solve the given equation $X \times \frac{3}{16} - 10 \frac{1}{4} = 2 \frac{3}{16}$, follow these steps:

First, convert the mixed number $\frac{10}{4}$ to an improper fraction: $10 \frac{1}{4} = 10 + \frac{1}{4} = \frac{40}{4} + \frac{1}{4} = \frac{41}{4}$

Now, rewrite the equation with the improper fraction: $X \times \frac{3}{16} - \frac{41}{4} = 2 \frac{3}{16}$

Next, find a common denominator for $\frac{3}{16}$ and $\frac{41}{4}$. The least common multiple of 16 and 4 is 16. Rewrite the equation with a common denominator of 16: $X \times \frac{3}{16} - \frac{41 \times 4}{4 \times 4} = 2 \frac{3}{16}$ $X \times \frac{3}{16} - \frac{164}{16} = 2 \frac{3}{16}$

Combine the fractions on the left side of the equation: $X \times \frac{3}{16} - \frac{164}{16} = \frac{35}{16}$

Now, add $\frac{164}{16}$ to both sides to isolate $X$: $X \times \frac{3}{16} = \frac{35}{16} + \frac{164}{16}$ $X \times \frac{3}{16} = \frac{199}{16}$

Finally, solve for $X$ by multiplying both sides by $\frac{16}{3}$: $X = \frac{199}{16} \times \frac{16}{3}$ $X = \frac{199}{3}$

So, the solution to the given equation is $X = \frac{199}{3}$.