I am working a problem, 'order of operations" ie, 100 a=4/5. I need to know if I mulitiply this? should I change the fraction to 4.5?
I would divide th 4 by 5, which is .8
You can multiply 5 to both sides of the equal sign to get rid of the denominator. Then divide to get rid of the variable, a. Last reduce fraction.
You can multiply 5 to both sides of the equal sign to get rid of the denominator, 5(100a)=4/5(5); The 5's will cancel each other out to 500a=4. Then divide to get rid of the variable a, 500a/500=4/500. 500 cancel each other out which leaves a=4/500. Last reduce fraction, a=1/125 or a=0.008.
To determine the answer to your question, let's first clarify some details about the problem. You mentioned an expression, "100 a = 4/5," but it seems incomplete. Are you trying to say that you have the equation 100 * a = 4/5? Or are you asking how to multiply 100 by the fraction 4/5?
If you have the equation 100 * a = 4/5, then to find the value of 'a,' we need to isolate the variable by dividing both sides of the equation by 100. This gives us the following steps:
1. Multiply 100 by 'a': 100 * a = 4/5.
2. Divide both sides of the equation by 100: (100 * a)/100 = (4/5)/100.
3. Simplify: a = 4/500, which can be further simplified to a = 1/125.
On the other hand, if you want to multiply 100 by the fraction 4/5, it would be more straightforward. The steps are as follows:
1. Multiply the numerators (top numbers): 100 * 4 = 400.
2. Multiply the denominators (bottom numbers): 5 * 1 = 5.
3. Combine the result to form the new fraction: 400/5.
Now, if you wish to convert this fraction to a decimal, you can simplify it by dividing 400 by 5, which would equal 80. Therefore, 100 multiplied by the fraction 4/5 equals 80.
In either case, changing the fraction itself from 4/5 to 4.5 is not accurate. The decimal 4.5 is equivalent to the fraction 9/2, which is different from 4/5.