Answer:To evaluate the expression −1 8 7 ÷ 4 1 and write the answer as a mixed number in simplest form, we can follow these steps:
1) First, convert the mixed number −1 8 7 into an improper fraction. To do this, multiply the whole number by the denominator of the fraction, and then add the numerator. This gives us:
−1 8 7 = (−1 × 4) + 7 = −4 + 7 = 3
So, −1 8 7 is equivalent to the improper fraction 3/4.
2) Next, we divide the fraction 3/4 by 4/1. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, we have:
3/4 ÷ 4/1 = 3/4 × 1/4 = (3 × 1)/(4 × 4) = 3/16
Therefore, the simplified expression −1 8 7 ÷ 4 1 is equal to 3/16 when written as a mixed number in simplest form.
Explanation: