Question

(1 1/6)(-5/7)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the expression (1 1/6)(-5/7), we first need to convert the mixed number 1 1/6 into an improper fraction.

To convert the mixed number 1 1/6 to an improper fraction, we multiply the whole number (1) by the denominator of the fractional part (6), and then add the numerator of the fractional part (1).

1 * 6 + 1 = 7

The improper fraction equivalent of 1 1/6 is 7/6.

Now we can multiply the fractions:

(7/6)(-5/7) = (7 * -5) / (6 * 7)

-35 / 42

Therefore, (1 1/6)(-5/7) simplifies to -35/42.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To multiply the fractions (1 1/6) and (-5/7), you can follow these steps:

Step 1: Convert the mixed number (1 1/6) to an improper fraction.
1 1/6 = (6/6) + (1/6) = 7/6

Step 2: Multiply the two fractions together.
(7/6) * (-5/7)

Step 3: Multiply the numerators (top numbers) together.
7 * -5 = -35

Step 4: Multiply the denominators (bottom numbers) together.
6 * 7 = 42

Step 5: Write the product of the fractions as a fraction.
The result is -35/42.

Step 6: Simplify the fraction, if possible.
Both -35 and 42 can be divided by 7:
-35/42 = (-5/6)

Therefore, (1 1/6) * (-5/7) = -5/6.

Answer 3

[AI-generated answer — Explain Bot]

To multiply the given numbers (1 1/6) and (-5/7), you can follow these steps:

Step 1: Convert the mixed number (1 1/6) into an improper fraction.
To do this, multiply the whole number (1) by the denominator (6), then add the numerator (1) to the result. The denominator remains the same. In this case:
1 * 6 = 6
6 + 1 = 7
So, (1 1/6) can be written as 7/6.

Step 2: Multiply the numerators and denominators together.
Multiply the numerators (1 and -5) together to get the numerator of the product, and multiply the denominators (6 and 7) together to get the denominator of the product.
1 * -5 = -5
6 * 7 = 42

Step 3: Simplify the fraction, if possible.
In this case, the fraction (-5/42) cannot be further simplified since there are no common factors between the numerator and the denominator.

Therefore, the product of (1 1/6) and (-5/7) is -5/42.