Math Problem Statement

what part of 15 is 10

Solution

To determine what part of 15 is 10, we can express this relationship as a fraction:

Part of 15 that is 10=1015\text{Part of 15 that is 10} = \frac{10}{15}

Step 1: Simplify the Fraction

The fraction 1015\frac{10}{15} can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 5:

10÷515÷5=23\frac{10 \div 5}{15 \div 5} = \frac{2}{3}

Final Answer

10 is 23\frac{2}{3} of 15.

This can also be expressed as:

  • Decimal: 230.6667\frac{2}{3} \approx 0.6667 (rounded to four decimal places)
  • Percentage: 0.6667×100=66.67%0.6667 \times 100 = 66.67\%

Would you like more details on this, or do you have any other questions?


Here are 5 related questions to consider:

  1. How do you determine the GCD of two numbers?
  2. What is the process for simplifying fractions?
  3. How can you convert fractions into decimals?
  4. How do you express fractions as percentages?
  5. What is the importance of understanding parts of a whole in real-world scenarios?

Tip: Simplifying fractions helps you better understand the relationship between numbers!

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Math Problem Analysis

Mathematical Concepts

Fractions
Percentage
Division

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8