$$ \frac{8}{8}-\frac{1}{8} $$ 2. $$ 2 \frac{1}{4} x+\frac{1}{2} x=44 $$

Question

UpStudy AI · Accepted Answer

Sure, let's solve both problems step by step.

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### **1. Simplify $$ \frac{8}{8} - \frac{1}{8} $$**

**Step 1:** Recognize that $$ \frac{8}{8} $$ is equal to 1.

$$
\frac{8}{8} = 1
$$

**Step 2:** Subtract $$ \frac{1}{8} $$ from 1.

$$
1 - \frac{1}{8} = \frac{8}{8} - \frac{1}{8} = \frac{7}{8}
$$

**Answer:** $$ \frac{7}{8} $$

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### **2. Solve the equation $$ 2\frac{1}{4}x + \frac{1}{2}x = 44 $$**

**Step 1:** Convert the mixed number $$ 2\frac{1}{4} $$ to an improper fraction.

$$
2\frac{1}{4} = \frac{9}{4}
$$

**Step 2:** Rewrite the equation with the improper fraction.

$$
\frac{9}{4}x + \frac{1}{2}x = 44
$$

**Step 3:** Find a common denominator to combine the terms. The common denominator for 4 and 2 is 4.

$$
\frac{1}{2}x = \frac{2}{4}x
$$

So the equation becomes:

$$
\frac{9}{4}x + \frac{2}{4}x = 44
$$

**Step 4:** Combine the like terms.

$$
\left( \frac{9}{4} + \frac{2}{4} \right) x = \frac{11}{4}x = 44
$$

**Step 5:** Solve for $$ x $$ by multiplying both sides by the reciprocal of $$ \frac{11}{4} $$, which is $$ \frac{4}{11} $$.

$$
x = 44 \times \frac{4}{11}
$$

**Step 6:** Simplify the multiplication.

$$
x = \frac{44 \times 4}{11} = \frac{176}{11} = 16
$$

**Answer:** $$ x = 16 $$

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If you have any further questions or need additional explanations, feel free to ask!
1. $$ \frac{7}{8} $$ 2. $$ x = 16 $$

\( \frac{8}{8}-\frac{1}{8} \) 2. \( 2 \frac{1}{4} x+\frac{1}{2} x=44 \)