Solve $$ \frac{12}{20}=\frac{3}{y} $$

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UpStudy AI · Accepted Answer

To solve the equation:

$$
\frac{12}{20} = \frac{3}{y}
$$

we need to find the value of $$ y $$. Here's a step-by-step solution:

### Step 1: Cross-Multiply
Cross-multiplication is a method used to solve proportions (equations that state two ratios are equal). Multiply the numerator of one fraction by the denominator of the other fraction and set the products equal to each other.

$$
12 \times y = 20 \times 3
$$

$$
12y = 60
$$

### Step 2: Solve for $$ y $$
Now, isolate $$ y $$ by dividing both sides of the equation by 12:

$$
y = \frac{60}{12}
$$

$$
y = 5
$$

### Conclusion
The value of $$ y $$ that satisfies the equation $$ \frac{12}{20} = \frac{3}{y} $$ is:

$$
y = 5
$$
$$ y = 5 $$

Solve \( \frac{12}{20}=\frac{3}{y} \)

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