Question

4 2/5+k=−3 2/11

Need help

Answer 1

Answer:

2/11

Step-by-step explanation:

Here we have two mixed numbers. Be very careful when handeling negative mixed numbers. Don't coonfuse "-3 2/11" with "-3 + 2/11"

4 2/5 + k = -3 2/11

I add a minus into the mixed fraction on the right. Of course you don't have to write an entire new line when you do calculations on paper.

4 2/5 + k = -3 -2/11

k = - 3 - 4 - 2/5 - 2/11

k= - 7 -2/5 -2/11

Make common denominators. Both 11 and 5 is prime numbers (numbers that are only divisible by one and itself). Therefore the common denominator is 5*11=55.

k= - (7*55)/55 - (2*11)/(5/11) - (2*5)/(11*5)

k = - 385/55 - 22/55 -10/55

k = - (385 +22+10)/55

k = - 417/55

Since 417 isn't divisible by neither 11 nor 5, this fraction is in it's simplest form.

btw correct me if i am wrong

Answer 2

Answer:

$k = - 1 \frac{12}{55}$

Step-by-step explanation:

$4 \frac{2}{5} + k = 3 \frac{2}{11} \\ \frac{22}{5} + k = \frac{35}{11} \\ k = \frac{35}{11} - \frac{22}{5} \\ k = \frac{175 - 242}{55} \\ k = \frac{ - 67}{55} \\ k = - 1 \frac{12}{55}$

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