Question

Eight students share 12 mini oatmeal muffins equally and 6 students share 15 mini apple muffins equally Carmine is in both groups of students What is the total number of mini muffins Carmine gets? Explain your solution

Answer 1

Group 1:
divide number of muffins by number of students

=8 ÷ 12
=8/12
reduce by 4
=2/3 muffins each in group 1

Group 2:
=6 ÷ 15
=6/15
reduce by 3
=2/5 muffins each in group 2

Add fractions together:
= 2/3 + 2/5
need common denominator
multiply 2/3 by 5 and 2/5 by 3 for common denominator of 15

=(2/3 * 5/5) + (2/5 * 3/3)
=(2*5/3*5) + (2*3/5*3)
= 10/15 + 6/15
= 16/15
= 1 1/15 muffin

ANSWER: Carmine gets 1 1/15 muffins because she was in both groups. She received 2/3 in one group, 2/5 in another group and added together she received 1 1/15 muffins.

Hope this helps! :)