(1/4)^2 / (1/2 - 3/4) + 5/7
You need to make additional use of parentheses. I assume this is
[(1/4)^2/(1/2-3/4)] + 5/7.
If so, what is your question?
i have to simplify and no it's 1/4)^2 / (1/2 - 3/4) + 5/7 .
ok. So I assume the 5/7 is in the denominator like this.
(1/4)^2/[(1/2-3/4) + 5/7]
To simplify the given expression, we'll follow the order of operations (also known as PEMDAS):
Step 1: Simplify within parentheses and brackets (there are none in this case).
Step 2: Simplify exponents.
Step 3: Perform multiplications and divisions from left to right.
Step 4: Perform additions and subtractions from left to right.
Now, let's solve the given expression step by step:
Step 1: Simplify within parentheses and brackets (none here).
Step 2: Simplify exponents:
(1/4)^2 = 1/16
Substituting the simplified expression into the original expression, we get:
(1/16) / (1/2 - 3/4) + 5/7
Step 3: Perform multiplications and divisions from left to right:
Dividing by a fraction is the same as multiplying by its reciprocal, so we can rewrite it as:
(1/16) * (2/(1/2 - 3/4)) + 5/7
Now, let's simplify (1/2 - 3/4) first:
To subtract fractions, we need a common denominator, which is 4 in this case:
(1/2) - (3/4) = (2/4) - (3/4) = -1/4
Substituting the simplified expression, we get:
(1/16) * (2/(-1/4)) + 5/7
Simplifying (2/(-1/4)):
To divide by a fraction, we multiply by its reciprocal:
(2/(-1/4)) = 2 * (-4/1) = -8
Now, our expression becomes:
(1/16) * (-8) + 5/7
Multiplying the fractions:
(1/16) * (-8) = -8/16 = -1/2
Substituting the multiplication result, we now have:
-1/2 + 5/7
Step 4: Perform additions and subtractions from left to right:
To add or subtract fractions, we need a common denominator. In this case, it is 14:
(-1/2) + (5/7) = (-7/14) + (10/14) = 3/14
Therefore, the final answer is 3/14.