whats the product of 1 1/6 -5/7
The product of 1 1/6 and -5/7 is -5/9.
To find the product of 1 1/6 and -5/7, we need to convert the mixed number to an improper fraction.
1 1/6 can be written as (6 + 1)/6, which simplifies to 7/6.
The product of 7/6 and -5/7 can be calculated by multiplying the numerators together and the denominators together.
(7/6) * (-5/7) = (7 * -5) / (6 * 7) = -35/42.
Therefore, the product of 1 1/6 and -5/7 is -35/42.
To find the product of 1 1/6 and -5/7, you need to convert the mixed number into an improper fraction and then multiply the fractions.
First, convert 1 1/6 into an improper fraction:
1 × 6 = 6
6 + 1 = 7
So, 1 1/6 as an improper fraction is 7/6.
Next, multiply the fractions:
(7/6) × (-5/7)
To multiply fractions, you simply multiply the numerators (top numbers) and the denominators (bottom numbers) together.
So, multiplying the numerators:
7 × -5 = -35
And multiplying the denominators:
6 × 7 = 42
Therefore, the product of 1 1/6 and -5/7 is -35/42.
However, we can simplify this fraction further. Both -35 and 42 can be divided by 7:
-35 ÷ 7 = -5
42 ÷ 7 = 6
So, the simplified product is -5/6.