How do you solve #2(1\div 4)-5\div 1\div 4#?

Question

Julian Avila · Accepted Answer

#-3/4#

To simplify this expression, all we need to do, is use #PEMDAS#.

First thing we need to know is the definition of #PEMDAS#:

#P# - Parenthesis #E# - Exponents #MD# - Multiply/Divide (Left to Right) #AS# - Add/Subtract (Left to Right)

This is the order we must do this, from top to bottom. This process is more commonly known as the Order of Operations.

Now that we know the order of the steps we must take to solve this, we can:

#2(1divide4) - 5divide1divide4#

#2(1/4) - 5divide1divide4#

#2/4 - 5divide1divide4#

#2/4 - 5divide4#

#2/4 - 5/4#

#-3/4#

Nova Allen · Answer

undefined To solve the expression $2(1\div 4)-5\div 1\div 4$, follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

1. Begin by evaluating within the parentheses:
$$ 2(1\div 4) = 2 \times \frac{1}{4} = \frac{2}{4} = \frac{1}{2} $$

2. Next, evaluate the division:
$$ 5\div 1 = 5 $$

3. Then, evaluate the division again:
$$ 5\div 4 = \frac{5}{4} $$

4. Now, substitute the values back into the expression:
$$ \frac{1}{2} - \frac{5}{4} $$

5. To subtract fractions, ensure the denominators are the same, then subtract the numerators:
$$ \frac{1}{2} - \frac{5}{4} = \frac{2}{4} - \frac{5}{4} = \frac{2-5}{4} = \frac{-3}{4} $$

Therefore, the solution to $2(1\div 4)-5\div 1\div 4$ is $-\frac{3}{4}$.