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.
Converting -1 1/6 to an improper fraction:
-1 1/6 = -6/6 + 1/6 = -7/6
Multiplying -7/6 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 express the remainder as a fraction.
Integer division of -49 by 6:
-49 ÷ 6 = -8 remainder 1
The mixed number is -8 1/6.
To multiply -1 1/6 by 7, we 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 improper fraction -7/6 by 7:
-7/6 * 7 = (-7 * 7) / (6 * 1)
= -49/6
Step 3: Simplify the improper fraction -49/6 to a mixed number:
Divide the numerator (-49) by the denominator (6):
-49 ÷ 6 = -8 remainder 1
The simplified mixed number is:
-1 1/6 * 7 = -8 1/6
To multiply -1 1/6 by 7, we need to convert the mixed number -1 1/6 into an improper fraction first.
To do that, we multiply the whole number by the denominator of the fraction and add the numerator. In this case, -1 multiplied by 6 is -6, and adding 1 gives us -5. So, -1 1/6 can be expressed as an improper fraction as -5/6.
Now, we multiply -5/6 by 7. To multiply fractions, we multiply the numerators together and the denominators together. So, -5/6 multiplied by 7 is (-5 * 7) / (6 * 1) = -35/6.
To write the answer as a mixed number, we divide the numerator (-35) by the denominator (6) and separately express any remaining fraction.
Dividing -35 by 6, we get -5 with a remainder of 5. So, the mixed number form of the answer is -5 5/6.