basic proportion worksheet - Free Printable

It looks like you've uploaded a worksheet titled "Proportions" with a series of problems asking to solve each proportion. However, the image isn't visible to me — I can only see the text description you provided.

But based on your description and the typical format of such worksheets, here’s how we can approach this:

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🔍 What is a Proportion?

A proportion is an equation stating that two ratios are equal. For example:

$$
\frac{a}{b} = \frac{c}{d}
$$

To solve for an unknown variable in a proportion, we use cross-multiplication:

$$
a \cdot d = b \cdot c
$$

Then solve for the variable.

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📝 Example Problem (Typical Format)

Let’s suppose one of the problems is:

$$
\frac{x}{4} = \frac{3}{6}
$$

Step 1: Cross-multiply:
$$
x \cdot 6 = 4 \cdot 3
$$
$$
6x = 12
$$

Step 2: Solve for $ x $:
$$
x = \frac{12}{6} = 2
$$

So, $ x = 2 $

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✔ General Steps to Solve Each Proportion:

For each problem on the worksheet (like #1 to #20), follow these steps:

1. Write down the proportion.
2. Cross-multiply: Multiply the numerator of one side by the denominator of the other.
3. Set up the equation.
4. Solve for the variable.
5. Simplify if needed.

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Since I can’t see the actual numbers or expressions in your image, I can’t solve the specific problems directly.

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🛠️ How You Can Solve It Yourself:

Here’s a template for solving any proportion:

Given:
$$
\frac{a}{b} = \frac{c}{d}
$$

Solve:
$$
a \cdot d = b \cdot c
$$

Then isolate the variable.

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📌 Example from Worksheet (Assumed):

Let’s assume problem #1 is:

$$
\frac{x}{5} = \frac{2}{10}
$$

Cross-multiply:
$$
x \cdot 10 = 5 \cdot 2
\Rightarrow 10x = 10
\Rightarrow x = 1
$$

Answer: $ x = 1 $

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💡 Tips:

- Always check if the proportion can be simplified before solving.
- If the variable is in the denominator, make sure to avoid division by zero.
- Double-check your cross-multiplication.

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📄 Final Note:

If you can type out the proportions from the worksheet (e.g., list them as "1. x/3 = 4/6", etc.), I can solve each one step-by-step and explain clearly.

Would you like to do that? Just paste the equations, and I’ll help you solve all of them!