## Simplifying 1 1/7 x 3 5/7

To multiply mixed numbers, we need to convert them into improper fractions first.

**Step 1: Convert mixed numbers to improper fractions.**

**1 1/7:**(7 * 1) + 1 = 8, so 1 1/7 is equal to 8/7.**3 5/7:**(7 * 3) + 5 = 26, so 3 5/7 is equal to 26/7.

**Step 2: Multiply the fractions.**

(8/7) * (26/7) = (8 * 26) / (7 * 7) = 208/49

**Step 3: Simplify the improper fraction.**

208/49 can be simplified to **4 12/49** by dividing the numerator (208) by the denominator (49), which gives us 4 with a remainder of 12.

Therefore, 1 1/7 x 3 5/7 simplified to its simplest form is **4 12/49**.