Evaluate the expression shown below and write your answer as a fraction in simplest form - 3/16 + ( - 11/20)
To add these fractions, we need to find a common denominator. The smallest number that 16 and 20 both divide evenly into is 80.
First, we need to convert 3/16 to have a denominator of 80:
3/16 * 5/5 = 15/80
Next, we need to convert -11/20 to have a denominator of 80:
-11/20 * 4/4 = -44/80
Now, we can add the fractions:
15/80 + (-44/80)
To add fractions, we simply add the numerators when the denominators are the same:
15 - 44 = -29
80
So, the answer is -29/80.
To evaluate the expression -3/16 + (-11/20), we need to find a common denominator and then add the fractions together.
The least common denominator (LCD) of 16 and 20 is 80.
To convert the first fraction -3/16 to have a denominator of 80, we can multiply both the numerator and denominator by 5:
-3/16 * 5/5 = -15/80
To convert the second fraction -11/20 to have a denominator of 80, we can multiply both the numerator and denominator by 4:
-11/20 * 4/4 = -44/80
Now that both fractions have the same denominator, we can add them together:
-15/80 + -44/80 = (-15 - 44)/80 = -59/80
So, the answer is -59/80.
To evaluate the expression -3/16 + (-11/20) and write the answer as a fraction in simplest form, we follow these steps:
Step 1: Find the common denominator
The common denominator for 16 and 20 is 80.
Step 2: Convert the fractions to have the same denominator
Multiply the numerator and denominator of -3/16 by 5 to match the denominator of 80:
-3/16 * 5/5 = -15/80
Multiply the numerator and denominator of -11/20 by 4 to match the denominator of 80:
-11/20 * 4/4 = -44/80
Step 3: Add the fractions
-15/80 + (-44/80) = (-15 - 44)/80 = -59/80
Step 4: Simplify the fraction
To simplify -59/80, we need to find the greatest common divisor (GCD) of the numerator and denominator, which is 1.
Divide both the numerator and denominator by the GCD:
-59/1 ÷ 80/1 = -59/80
Therefore, the answer to the expression -3/16 + (-11/20) is -59/80.