Final answer:
Each of Marcus's four friends receives (1/14) of the total football cards when he shares (2/7) of his cards with them.
Step-by-step explanation:
Marcus shares (2)/(7) of his football cards with his four friends. To find out what fraction of the football cards each friend receives, we divide the fraction of the total cards that is being shared by the number of friends. So we take (2/7) and divide it by 4.
When we divide a fraction by a whole number, it is the same as multiplying the fraction by the reciprocal of the whole number. Therefore, we multiply (2/7) by (1/4) to get the fraction that each friend receives:
(2/7) × (1/4) = (2/28) or simplified, (1/14). Hence, each friend receives (1/14) of the total football cards.