-1 1/6 by 7 as a mixed number
To solve this problem, we need to first convert the mixed number to an improper fraction.
The mixed number -1 1/6 can be written as -1 + 1/6. To convert this to an improper fraction, we need to find a common denominator between -1 and 1/6, which is 6.
-1 can also be written as -6/6, since -1 multiplied by 6/6 is -6/6.
Adding -6/6 and 1/6, we get -6/6 + 1/6 = -5/6.
Now, we can divide -5/6 by 7:
-5/6 ÷ 7 = -5/6 × 1/7 = (-5 × 1)/(6 × 7) = -5/42.
Therefore, -1 1/6 divided by 7 as a mixed number is -5/42.
To convert the improper fraction -1 1/6 to a mixed number, you can follow these steps:
Step 1: Multiply the whole number (-1) by the denominator (6):
-1 * 6 = -6
Step 2: Add the product from Step 1 to the numerator (1):
-6 + 1 = -5
Step 3: Write the sum from Step 2 over the original denominator (6):
-5/6
Therefore, -1 1/6 as a mixed number is -5/6.
To divide a mixed number by a whole number, you need to convert the mixed number into an improper fraction, then perform the division.
Let's convert the mixed number -1 1/6 into an improper fraction:
-1 1/6 = (6 * -1 + 1) / 6 = (-6 + 1) / 6 = -7/6
Now, we can divide -7/6 by 7:
-7/6 ÷ 7
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction.
So, we have (-7/6) * (1/7) = -7/(6 * 7) = -7/42
Therefore, the result is -7/42, which is an improper fraction.