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.