-13 over 5×-51/64
To solve this expression, we can follow the order of operations (PEMDAS/BODMAS).
First, let's simplify the expression within the parentheses: -51/64.
Next, we multiply -13 by the simplified expression:
-13 * (-51/64)
We can simplify the denominator by multiplying 5 by 64:
-13 * (-51/320)
Now, let's multiply -13 by -51, which gives us:
663/320
To simplify the expression (-13 over 5) multiplied by (-51/64), you can follow these steps:
Step 1: Calculate (-13 over 5)
- (-13 over 5) means -13 divided by 5, which can be written as -13/5.
Step 2: Calculate (-13/5) multiplied by (-51/64)
- To multiply fractions, you can multiply the numerators together and multiply the denominators together.
- (-13/5) multiplied by (-51/64) is calculated as follows:
(-13/5) × (-51/64) = (-13 × -51) / (5 × 64)
= 663/320
Therefore, the simplified value of (-13 over 5) multiplied by (-51/64) is 663/320.
To simplify the expression -13 / (5 × -51/64), you need to follow the order of operations or PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Step 1: Simplify inside the parentheses (if any)
There are no parentheses in the expression, so we move to the next step.
Step 2: Simplify any exponents (if any)
There are no exponents in the expression, so we move to the next step.
Step 3: Perform any multiplication and division (from left to right)
In this case, we have division before multiplication. So, let's divide first:
-13 / (5 × -51/64)
To divide a number by a fraction, you can multiply the number by the reciprocal of the fraction. The reciprocal of a fraction is obtained by swapping the numerator and denominator. Thus, -13 divided by a fraction is the same as -13 multiplied by the reciprocal of that fraction.
The reciprocal of -51/64 is -64/51.
So, we have:
-13 × (-64/51)
Multiplying -13 by -64 and dividing the result by 51:
= (-13 × -64) / 51
= 832 / 51
Step 4: Perform any addition and subtraction (from left to right)
There are no addition or subtraction operations in the expression, so we move to the next step.
The final result is 832/51.
Therefore, -13 / (5 × -51/64) simplifies to 832/51.