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

1 answer

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.