To express  in simplest form 6/7 x ⅝ x 14/15

To express the product \(\frac{6}{7} \times \frac{5}{8} \times \frac{14}{15}\) in its simplest form, follow these steps:

1. **Multiply the numerators together**:
   \[
   6 \times 5 \times 14 = 420
   \]

2. **Multiply the denominators together**:
   \[
   7 \times 8 \times 15 = 840
   \]

3. **Write the fraction**:
   \[
   \frac{420}{840}
   \]

4. **Simplify the fraction**:
   - Find the greatest common divisor (GCD) of 420 and 840, which is 420.
   - Divide both the numerator and the denominator by their GCD:
   \[
   \frac{420 \div 420}{840 \div 420} = \frac{1}{2}
   \]

So, the product \(\frac{6}{7} \times \frac{5}{8} \times \frac{14}{15}\) in its simplest form is \(\frac{1}{2}\).

Would you like any further details or have any questions?

---

**Related Questions**:
1. How do you simplify fractions with large numbers?
2. What are some tips for multiplying fractions efficiently?
3. How do you find the greatest common divisor (GCD) quickly?
4. Can you multiply three or more fractions in one step?
5. What is the difference between proper and improper fractions?

**Tip**: When multiplying fractions, it's often helpful to simplify the fractions before multiplying by canceling out any common factors between numerators and denominators across the fractions.

Learn how to simplify the multiplication of fractions 6/7 * 5/8 * 14/15 step-by-step. Follow our detailed solution to understand the process of multiplying fractions and simplifying the result. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation