Math Problem Statement

six and a half of what number is 20

Solution

To find the number xx such that six and a half of that number equals 20, we can set up the equation as follows:

132×x=20\frac{13}{2} \times x = 20

To solve for xx, multiply both sides of the equation by 213\frac{2}{13}:

x=20×213x = \frac{20 \times 2}{13}

x=40133.08x = \frac{40}{13} \approx 3.08

So, the number is approximately 3.08.

Would you like any more details or have any questions? Here are five related questions to explore further:

  1. What is six and a half of 15?
  2. If three times a number is 20, what is the number?
  3. How do you calculate one-third of a number?
  4. What is the decimal equivalent of 6 and a half?
  5. How can you solve equations involving fractions?

Tip: When solving equations involving fractions, it's often helpful to first multiply both sides by the denominator to eliminate the fraction.

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Math Problem Analysis

Mathematical Concepts

Basic Algebra
Fractional Multiplication

Formulas

(13/2) * x = 20
x = (20 * 2) / 13

Theorems

Basic principles of equation solving with fractions

Suitable Grade Level

Grades 6-8