2. $$ 10 \frac{5}{16}-\left(5 \frac{1}{4}+2 \frac{9}{16}\right) $$

Question

UpStudy AI · Accepted Answer

To solve the expression:

$$
10 \frac{5}{16} - \left(5 \frac{1}{4} + 2 \frac{9}{16}\right)
$$

**Step 1: Simplify inside the parentheses**

First, add $$5 \frac{1}{4}$$ and $$2 \frac{9}{16}$$:

$$
5 \frac{1}{4} + 2 \frac{9}{16}
$$

Convert $$5 \frac{1}{4}$$ to sixteenths:

$$
5 \frac{1}{4} = 5 \frac{4}{16}
$$

Now add the fractions:

$$
\frac{4}{16} + \frac{9}{16} = \frac{13}{16}
$$

Add the whole numbers:

$$
5 + 2 = 7
$$

So,

$$
5 \frac{1}{4} + 2 \frac{9}{16} = 7 \frac{13}{16}
$$

**Step 2: Subtract from $$10 \frac{5}{16}$$**

Now, subtract $$7 \frac{13}{16}$$ from $$10 \frac{5}{16}$$:

$$
10 \frac{5}{16} - 7 \frac{13}{16}
$$

Subtract the whole numbers:

$$
10 - 7 = 3
$$

Subtract the fractions:

$$
\frac{5}{16} - \frac{13}{16} = -\frac{8}{16} = -\frac{1}{2}
$$

Combine the results:

$$
3 - \frac{1}{2} = 2 \frac{1}{2}
$$

**Final Answer:**

$$
2 \frac{1}{2}
$$
The final answer is $$2 \frac{1}{2}$$.

2. \( 10 \frac{5}{16}-\left(5 \frac{1}{4}+2 \frac{9}{16}\right) \)