Evaluate the expression shown below and write your answer as a fraction in simplest form. one half, minus, start fraction, 3, divided by, 16, end fraction 2 1 − 16 3
To evaluate the expression, we first need to find a common denominator for the fractions.
The common denominator for 1/2 and 3/16 is 16.
So, we have:
1/2 - (3/16)
Multiplying the numerator and denominator of 1/2 by 8, we get:
(8/16) - (3/16)
Now, we can subtract the fractions:
(8 - 3)/16 = 5/16
Therefore, the expression simplifies to 5/16.
To evaluate the expression, we need to follow the order of operations (PEMDAS/BODMAS) and simplify the expression step by step.
1. Convert "one half" to a fraction:
- "One half" is equivalent to 1/2.
So the expression becomes: 1/2 - (3/16).
2. Find a common denominator for 2 and 16:
- The least common multiple (LCM) of 2 and 16 is 16.
So the expression becomes: 1/2 - (3/16) = 8/16 - (3/16).
3. Perform the subtraction:
- Subtract the numerators and keep the denominator the same.
(Numerators: 8 - 3 = 5)
So the expression becomes: 5/16.
The final answer is 5/16.
To evaluate the expression given, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).
The given expression is:
1/2 - (3/16)
To subtract the fractions, we need to find a common denominator. In this case, the common denominator is 16.
Converting 1/2 into a fraction with a denominator of 16, we multiply both the numerator and denominator by 8:
1/2 = (1*8)/(2*8) = 8/16
Now, we can subtract the fractions with the same denominator:
8/16 - 3/16 = (8 - 3)/16 = 5/16
So, the simplified answer is 5/16.