**1 3/8 Divided by 1 5/6: A Step-by-Step Guide**

Dividing mixed numbers can be a bit tricky, but with the right approach, it can be made easy. In this article, we will guide you through the process of dividing 1 3/8 by 1 5/6.

**Step 1: Convert Mixed Numbers to Improper Fractions**

To divide mixed numbers, we need to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

### Converting 1 3/8 to an Improper Fraction

To convert 1 3/8 to an improper fraction, we multiply the whole number part (1) by the denominator (8) and then add the numerator (3).

1 × 8 = 8 8 + 3 = 11

So, 1 3/8 is equal to 11/8.

### Converting 1 5/6 to an Improper Fraction

To convert 1 5/6 to an improper fraction, we multiply the whole number part (1) by the denominator (6) and then add the numerator (5).

1 × 6 = 6 6 + 5 = 11

So, 1 5/6 is equal to 11/6.

**Step 2: Divide the Improper Fractions**

Now that we have converted both mixed numbers to improper fractions, we can divide them.

### Dividing 11/8 by 11/6

To divide two fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.

11/8 ÷ 11/6 = 11/8 × 6/11

**Step 3: Simplify the Result**

Now, we need to simplify the result of the division.

11/8 × 6/11 = 66/88

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 22.

66 ÷ 22 = 3 88 ÷ 22 = 4

So, the result of dividing 1 3/8 by 1 5/6 is **3/4**.

### Conclusion

In this article, we have shown you how to divide 1 3/8 by 1 5/6. We converted both mixed numbers to improper fractions, divided the fractions, and simplified the result to get **3/4**. Remember to always follow the correct steps when dividing mixed numbers to get accurate results.