4 times -5/8 write the answer as a mixed number in simplest form

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To calculate \(4 \times -\frac{5}{8}\):

  1. First, multiply the whole number by the fraction: \[ 4 \times -\frac{5}{8} = -\frac{4 \times 5}{8} = -\frac{20}{8} \]

  2. Now simplify \(-\frac{20}{8}\). The greatest common divisor of 20 and 8 is 4: \[ -\frac{20 \div 4}{8 \div 4} = -\frac{5}{2} \]

  3. Next, convert \(-\frac{5}{2}\) to a mixed number. Since \(\frac{5}{2}\) equals \(2\) with a remainder of \(1\): \[ -\frac{5}{2} = -2 \frac{1}{2} \]

Thus, the answer as a mixed number in simplest form is: \[ \boxed{-2 \frac{1}{2}} \]