Multiply 4 by −5\8. Write the answer as a mixed number in simplest form.
To multiply 4 by −5/8, we can first multiply the numerators: 4 * -5 = -20. Then, we can multiply the denominators: 1 * 8 = 8. The answer is -20/8.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4.
-20/8 ÷ 4/4 = - 5/2
Hence, the answer as a mixed number in simplest form is -5/2.
To multiply 4 by -5/8, we can follow these steps:
Step 1: Multiply the whole numbers: 4 x (-5) = -20
Step 2: Multiply the fractions: 1 x 5 = 5, and 2 x 8 = 16
Step 3: Write the product as a fraction: -20/1 x 5/16 = -100/16
Step 4: Simplify the fraction: -100/16 can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD), which is 4: -100/16 ÷ 4 = -25/4
Step 5: Write the answer as a mixed number: -25/4 can be written as a mixed number by dividing the numerator (-25) by the denominator (4) and taking the quotient and remainder: -25 ÷ 4 = -6 with a remainder of -1. So the answer is -6 and -1/4 as a mixed number in simplest form.