To solve the expression \( \frac{1}{3} \times \frac{4}{12} \times \frac{5}{6} \), follow these steps:

### Step 1: Multiply the numerators
\[
1 \times 4 \times 5 = 20
\]

### Step 2: Multiply the denominators
\[
3 \times 12 \times 6 = 216
\]

### Step 3: Simplify the fraction
\[
\frac{20}{216}
\]

Now, simplify by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4:

\[
\frac{20 \div 4}{216 \div 4} = \frac{5}{54}
\]

So, the simplified result is:
\[
\frac{5}{54}
\]

Would you like further clarification on any part of the solution?

Here are 5 related questions:
1. How do you find the greatest common divisor of two numbers?
2. How do you multiply fractions with mixed numbers?
3. What is the least common denominator and how is it used?
4. Can you convert fractions to decimals?
5. What is the method for simplifying complex fractions?

**Tip:** When multiplying fractions, always simplify both the numerators and denominators if possible to make calculations easier.

Learn how to solve and simplify the multiplication of fractions using the expression 1/3 × 4/12 × 5/6. This problem involves multiplying numerators and denominators and simplifying the result. Suitable for students in Grades 5-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation