Question
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4. \( \qquad \) 2. \( \frac{2}{3} \times \frac{5}{8}= \) \( \qquad \)

Ask by Wood Patel. in the United States
Feb 03,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

\[ \frac{2}{3} \times \frac{5}{8} = \frac{5}{12} \]

Solution

Sure, let's solve the multiplication of the two fractions you've provided. **Problem 2:** \[ \frac{2}{3} \times \frac{5}{8} = \quad \] **Solution:** To multiply two fractions, follow these steps: 1. **Multiply the numerators (top numbers):** \[ 2 \times 5 = 10 \] 2. **Multiply the denominators (bottom numbers):** \[ 3 \times 8 = 24 \] 3. **Write the new fraction:** \[ \frac{10}{24} \] 4. **Simplify the fraction by finding the greatest common divisor (GCD) of 10 and 24, which is 2:** \[ \frac{10 \div 2}{24 \div 2} = \frac{5}{12} \] **Final Answer:** \[ \frac{2}{3} \times \frac{5}{8} = \frac{5}{12} \]

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To solve \( \frac{2}{3} \times \frac{5}{8} \), simply multiply the numerators together and the denominators together. That means \( 2 \times 5 = 10 \) for the numerator and \( 3 \times 8 = 24 \) for the denominator. So, your result is \( \frac{10}{24} \). This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2, giving you \( \frac{5}{12} \). Understanding fractions can really help in many day-to-day scenarios like cooking or shopping! For instance, if a recipe calls for \( \frac{2}{3} \) cup of sugar, and you're doubling the recipe, you'd need \( \frac{4}{3} \) cups or \( 1 \frac{1}{3} \) cups. Knowing how to multiply and simplify fractions can save you from baking disasters.

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