https://file.aiquickdraw.com/mathbot/file/1728513799115lpmpj6bw.jpg

The equation provided in the image is:

\[
\frac{x}{14} = \frac{6}{16}
\]

To find the value of \(x\), we can solve it by cross-multiplication:

\[
x \cdot 16 = 6 \cdot 14
\]

Simplify the multiplication on the right-hand side:
\[
16x = 84
\]

Now, solve for \(x\) by dividing both sides by 16:
\[
x = \frac{84}{16}
\]

Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 4:
\[
x = \frac{84 \div 4}{16 \div 4} = \frac{21}{4} = 5.25
\]

So, the value of \(x\) is:
\[
x = 5.25
\]

Would you like more details or have any questions?

Here are some related questions:
1. What are cross-multiplication techniques used for?
2. How can you find the greatest common divisor of two numbers?
3. How do you convert a fraction to a decimal?
4. Why is simplifying fractions important in solving equations?
5. Can proportions be used to solve real-life problems?

**Tip:** When simplifying fractions, always look for the greatest common divisor (GCD) to make the process more efficient!

Learn how to solve the proportion x/14 = 6/16 using cross-multiplication and fraction simplification. This step-by-step guide simplifies the equation and calculates x as 5.25. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation