1. The problem is to calculate $\frac{15}{32} \times 4$. 2. The formula for multiplying a fraction by a whole number is: $$\frac{a}{b} \times c = \frac{a \times c}{b}$$ where $a$ and $b$ are the numerator and denominator of the fraction, and $c$ is the whole number. 3. Applying the formula: $$\frac{15}{32} \times 4 = \frac{15 \times 4}{32}$$ 4. Multiply the numerator: $$15 \times 4 = 60$$ So, $$\frac{60}{32}$$ 5. Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD). The GCD of 60 and 32 is 4. 6. Divide numerator and denominator by 4: $$\frac{60 \div 4}{32 \div 4} = \frac{15}{8}$$ 7. The fraction $\frac{15}{8}$ is an improper fraction and can be expressed as a mixed number: $$15 \div 8 = 1 \text{ remainder } 7$$ So, $$\frac{15}{8} = 1 \frac{7}{8}$$ **Final answer:** $\frac{15}{32} \times 4 = \frac{15}{8} = 1 \frac{7}{8}$