Multiply -1 1/6 by 7. Write the answer as a mixed number.
To multiply -1 1/6 by 7, we first need to convert the mixed number to an improper fraction.
-1 1/6 = -7/6
Now, we can multiply the improper fraction by 7:
(-7/6) * 7 = -49/6
To write the answer as a mixed number, we need to divide the numerator (-49) by the denominator (6) and find the remainder.
-49 ÷ 6 = -8 remainder 1
The mixed number is the quotient (whole number) plus the remainder over the denominator:
Mixed number: -8 1/6
To multiply -1 1/6 by 7, we can rewrite -1 1/6 as a mixed number in improper fraction form:
-1 1/6 = -7/6
Now, we can multiply -7/6 by 7:
(-7/6) * 7 = -49/6
To write this answer as a mixed number, we divide -49 by 6:
-49 ÷ 6 = -8 remainder 1
Therefore, the answer is -8 1/6 as a mixed number.
To multiply -1 1/6 by 7, we need to convert the mixed number to an improper fraction and then perform the multiplication.
First, let's convert -1 1/6 to an improper fraction.
To do this, we multiply the whole number (-1) by the denominator of the fraction (6), and then add the numerator (1). The result becomes the new numerator, while the denominator remains the same.
So, -1 1/6 as an improper fraction is:
-1 multiplied by 6 plus 1 equals -6 + 1 = -5.
The denominator remains 6.
Therefore, -1 1/6 as an improper fraction is -5/6.
Now, let's multiply -5/6 by 7.
To multiply fractions, we simply need to multiply the numerators and denominators together.
So, (-5/6) multiplied by 7 is:
(-5) multiplied by 7 equals -35 for the numerator.
6 remains the same for the denominator.
Therefore, -5/6 multiplied by 7 is -35/6.
To write the answer as a mixed number, we divide the numerator (-35) by the denominator (6).
The quotient will be the whole number, and the remainder will be the new numerator of the fraction.
So, -35 divided by 6 is:
-35 divided by 6 equals -5 with a remainder of 5.
Therefore, the mixed number is -5 5/6.