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 into an improper fraction.
−1 1/6 can be written as −7/6.
To find the product, we multiply −7/6 by 7 as fractions:
(−7/6) * 7 = −49/6.
To write the answer as a mixed number, we divide the numerator by the denominator:
−49 ÷ 6 = −8 remainder 1.
Therefore, the answer is −8 1/6.
To multiply -1 1/6 by 7, we need to convert -1 1/6 to an improper fraction.
To do this, we multiply the whole number (-1) by the denominator of the fraction (6), then add the numerator (1).
-1 * 6 + 1 = -6 + 1 = -5
So, -1 1/6 can be written as an improper fraction of -5/6.
Now, let's multiply -5/6 by 7:
-5/6 * 7 = -5 * 7 / 6 = -35/6
To write this as a mixed number, we divide the numerator (-35) by the denominator (6):
-35 ÷ 6 = -5 remainder 5
The quotient is -5, and the fraction part is 5/6.
Therefore, -35/6 as a mixed number is: -5 5/6.
To multiply −1 1/6 by 7, we can follow these steps:
Step 1: Convert the mixed number to 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 fraction (6) and then add the numerator (1). So, -1*6 + 1 = -6 + 1 = -5. Therefore, the improper fraction equivalent of −1 1/6 is -5/6.
Step 2: Multiply the improper fraction by 7.
To multiply a fraction by a whole number, we multiply the numerator by the whole number and keep the denominator the same. So, -5/6 * 7 = (-5 * 7)/6 = -35/6.
Step 3: Simplify the result, if needed.
In this case, we have -35/6 as the result. To write it as a mixed number, we divide the numerator (-35) by the denominator (6). The quotient is -5 with a remainder of 5. Since the fraction is negative, the whole number part will be negative. Therefore, the mixed number form of -35/6 is -5 5/6.
So, after multiplying −1 1/6 by 7 and writing the answer as a mixed number, we get -5 5/6.