Multiply four by -5/8 write the answer as a mixed number in simplest form
To multiply four by -5/8, we need to multiply the whole number part (4) by the fraction (-5/8).
We can convert the whole number 4 to a fraction by placing it over 1. So, 4 can be written as 4/1.
Now, we can multiply the numerators (4 x -5) to get the new numerator and the denominators (1 x 8) to get the new denominator:
4/1 x -5/8 = (4 x -5) / (1 x 8) = -20/8
Next, we simplify the fraction:
-20/8 = -10/4
Since the numerator and denominator are both divisible by 2, we divide them by 2:
-10/4 = -5/2
So, four multiplied by -5/8 as a mixed number in simplest form is -5/2.
To multiply four by -5/8, follow these steps:
Step 1: Multiply the whole number (4) by the numerator (-5).
4 x (-5) = -20
Step 2: Write the result from step 1 as the numerator of the mixed number.
Step 3: The denominator of the mixed number remains the same (-8).
Step 4: Simplify the fraction if possible. In this case, -20/8 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 4.
-20/8 ÷ 4/4 = -5/2
Step 5: Write the simplified fraction (-5/2) as a mixed number. Divide the numerator (-5) by the denominator (2) and write the quotient as the whole number. The remainder is the numerator of the fraction.
-5 ÷ 2 = -2 remainder 1
So, the final answer, written as a mixed number in simplest form, is:
-2 1/2