**7 1/5 x 1 5/6 as a Fraction**

In this article, we will learn how to multiply two mixed numbers, 7 1/5 and 1 5/6, and express the result as a fraction.

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

To multiply two 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.

**7 1/5**

To convert 7 1/5 to an improper fraction, we multiply the whole number part (7) by the denominator (5) and then add the numerator (1):

7 × 5 = 35 35 + 1 = 36

So, 7 1/5 is equal to **36/5**.

**1 5/6**

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: Multiply the Fractions**

Now that we have converted both mixed numbers to improper fractions, we can multiply them:

**36/5 × 11/6**

To multiply fractions, we multiply the numerators (36 and 11) and multiply the denominators (5 and 6):

Numerator: 36 × 11 = 396 Denominator: 5 × 6 = 30

So, the result of the multiplication is **396/30**.

**Step 3: Simplify the Fraction**

The resulting fraction **396/30** can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 396 and 30 is 6.

Numerator: 396 ÷ 6 = 66 Denominator: 30 ÷ 6 = 5

So, the simplified result of the multiplication is **66/5**.

**Conclusion**

Therefore, 7 1/5 x 1 5/6 as a fraction is equal to **66/5**.