Multiply 4 by −5/8. Write the answer as a mixed number in simplest form
To multiply 4 by -5/8, we can multiply the numerators together and the denominators together:
4 * -5 = -20
1 * 8 = 8
So, the result is -20/8.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4:
-20 ÷ 4 = -5
8 ÷ 4 = 2
Therefore, the fraction -20/8 simplifies to -5/2.
A mixed number consists of a whole number and a fraction. Since -5/2 is an improper fraction (the numerator is greater than the denominator), we can express it as a mixed number by dividing the numerator by the denominator:
-5 ÷ 2 = -2 remainder 1
So, the mixed number is -2 1/2 in simplest form.
Multiply 6.5 by 0.3. Write the answer as a decimal.
To multiply 4 by -5/8, follow these steps:
Step 1: Multiply the whole number part of 4 by the numerator of -5/8:
4 * (-5) = -20.
Step 2: Multiply the resulting whole number by the denominator of -5/8:
-20 / 8 = -2.5.
Step 3: Add the whole number part to the fraction part.
-2 + 1/2 = -2 1/2.
Therefore, the answer to 4 multiplied by -5/8 as a mixed number in simplest form is -2 1/2.
To multiply 4 by -5/8, you simply multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom).
The product of 4 and -5 is -20, and the product of 1 and 8 is 8. So, the result is -20/8.
To write this answer as a mixed number in simplest form, you need to simplify the fraction. -20/8 can be reduced by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4.
Dividing both -20 and 8 by 4, we get -5 and 2 respectively. So, the simplified fraction is -5/2.
To write this as a mixed number, we divide the numerator by the denominator. -5 divided by 2 equals -2 with a remainder of 1.
Therefore, the mixed number in simplest form is -2 1/2.