( 1/4 )^2 divided by ( 4^2 + 5 ). Simplify: enter your answer as a reduced fraction.
Answers
Before you can divide anything mixed numbers, you must first put it as an improper fraction so 5 1/4 will change into 21/4 because 5*4+1 is 21 and don’t forget the fraction so it would be 21/4, and -2 1/2 would change into -5/4 because -2*2+1 is -5 and if u add the fraction it would become -5/4. Now, the method I use is leave, change, flip, so I first leave the 21/4 in 21/4/-5/4 and I change the division sign into a multiplication sign, and I flip the -5/4 to -4/5, so your new equation now looks like, 21/4•-4/5. Now we have to multiply. Since we can cross simplify, you can cancel out both fours leaving you with 21/1•-1/5 and when u multiply across you get -21/5. When u simplify it to a mixed number, it should look like -4 1/5 because you see how many times 5 goes into 21 which is 4 times and it leaves u with a remainder of 1 because 21-20 is 1 and when ever u have a remainder, u have to keep a denominator of 5 so your final answer is: -4 1/5