Understanding the Equation:
The image shows the mathematical expression: \( \frac{96}{15} = \frac{32}{5} = 6,4 \).
Mathematical Equivalence: This equation demonstrates that the fraction \( \frac{96}{15} \) is equivalent to the fraction \( \frac{32}{5} \) and also equals the decimal number 6.4.
Step-by-step Verification:
- First Fraction to Decimal: To convert \( \frac{96}{15} \) to a decimal, divide 96 by 15.
\( 96 \div 15 = 6.4 \). - Second Fraction to Decimal: To convert \( \frac{32}{5} \) to a decimal, divide 32 by 5.
\( 32 \div 5 = 6.4 \). - Equivalence Check: Both fractions result in the decimal 6.4, confirming the equality shown in the image.
Conclusion: The equation \( \frac{96}{15} = \frac{32}{5} = 6,4 \) is mathematically correct.