Find the missing number. $$ \begin{array}{ll} ext { 1. } \frac{1}{4}=\frac{\square}{8} & ext { 2. } \frac{9}{12}=\frac{\square}{4}\end{array} $$

Question

Find the missing number. $$ \begin{array}{ll}	ext { 1. } \frac{1}{4}=\frac{\square}{8} & 	ext { 2. } \frac{9}{12}=\frac{\square}{4}\end{array} $$

UpStudy AI · Accepted Answer

Let's solve each proportion by finding the missing number (represented by the square).

### 1. $$ \frac{1}{4} = \frac{\square}{8} $$

**Solution:**

To find the missing number, let's denote it as $$ x $$.

$$
\frac{1}{4} = \frac{x}{8}
$$

**Cross-multiply:**

$$
1 \times 8 = 4 \times x
$$

$$
8 = 4x
$$

**Solve for $$ x $$:**

$$
x = \frac{8}{4} = 2
$$

**Answer:** $$ \boxed{2} $$

---

### 2. $$ \frac{9}{12} = \frac{\square}{4} $$

**Solution:**

Let's denote the missing number as $$ y $$.

First, simplify the fraction $$ \frac{9}{12} $$:

$$
\frac{9}{12} = \frac{3}{4}
$$

So the equation becomes:

$$
\frac{3}{4} = \frac{y}{4}
$$

**Cross-multiply:**

$$
3 \times 4 = 4 \times y
$$

$$
12 = 4y
$$

**Solve for $$ y $$:**

$$
y = \frac{12}{4} = 3
$$

**Answer:** $$ \boxed{3} $$

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**Final Answers:**

1. The missing number is **2**.
2. The missing number is **3**.
The missing numbers are 2 and 3.

Find the missing number. \( \begin{array}{ll}\text { 1. } \frac{1}{4}=\frac{\square}{8} & \text { 2. } \frac{9}{12}=\frac{\square}{4}\end{array} \)