📚 Practice With Worksheets
Practice solving proportions and completing equivalent ratios with these related worksheets.
▶️ Learn With Videos
Review multiple strategies for solving proportions, including reducing first and using proportions in percent problems.
🛠️ How to Use This Tool
Choose one or more problem features—whole numbers, fractions, or decimals—and turn on negatives when you are ready for signed values.
Enter the missing value directly in the proportion. Equivalent whole-number, fraction, mixed-number, and decimal answers are accepted.
Use Scale Factor or Cross Products for support, hide the supports when you want independent practice, and select New Problem to continue your streak.
🧠 Things to Notice
How does the scale factor connect corresponding numerators and denominators?
Why can a fraction, decimal, or mixed number represent the same missing value?
When negative values are included, what sign must the missing value have for the two ratios to remain equivalent?
📘 Vocabulary
Ratio: A comparison of two quantities.
Equivalent Ratios: Ratios that describe the same relationship between two quantities.
Proportion: An equation showing that two ratios or rates are equivalent.
Missing Value: An unknown number in a proportion that must be found.
Scale Factor: A number used to multiply both parts of a ratio to create an equivalent ratio.
Cross Products: The products found by multiplying diagonally across a proportion.
Numerator: The top number in a fraction.
Denominator: The bottom number in a fraction.
Equivalent Fractions: Fractions that have the same value even if they look different.
📐 Proportion Rules
A proportion shows that two ratios are equivalent.
One way to solve a proportion is to use cross products. If two ratios are equal, their cross products are equal:
\(\frac{a}{b}=\frac{c}{d}\) means \(a \times d=b \times c\)
Another strategy is to use a scale factor. Multiplying the numerator and denominator of one ratio by the same nonzero number creates an equivalent ratio.
For example, \(\frac{3}{5}=\frac{12}{20}\) because both \(3\) and \(5\) are multiplied by \(4\).
🔗 Share This Math Tool
Found this resource helpful? Share it with another teacher or save the link for later.
🚀 Explore More Math Tools
Browse more interactive tools for ratios, proportional relationships, geometry, coordinate planes, algebra, number systems, probability, and statistics.
Explore More Math Tools