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.
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.
