Simplifying 1 1/7 x 3 5/7
To simplify the multiplication of mixed numbers, we need to follow these steps:
1. Convert Mixed Numbers to Improper Fractions
- 1 1/7: Multiply the whole number (1) by the denominator (7) and add the numerator (1). Keep the same denominator. This gives us (1 * 7 + 1) / 7 = 8/7.
- 3 5/7: Multiply the whole number (3) by the denominator (7) and add the numerator (5). Keep the same denominator. This gives us (3 * 7 + 5) / 7 = 26/7.
2. Multiply the Fractions
Now we have: (8/7) * (26/7)
To multiply fractions, we multiply the numerators and the denominators:
(8 * 26) / (7 * 7) = 208/49
3. Simplify (If Possible)
The fraction 208/49 can be simplified by finding the greatest common factor (GCD) of 208 and 49. The GCD is 1, meaning the fraction is already in its simplest form.
Therefore, 1 1/7 x 3 5/7 = 208/49 in its simplest form.