Magan owns a small business selling bagels. He knows that in the last week 39 customers paid cash, 9 customers used a debit card, and 59 customers used a credit card. Based on these results , express the probability that the next customer will pay with a debit card as a fraction in simplest form.

To find the probability that the next customer will pay with a debit card, we need to calculate the ratio of the number of customers who paid with a debit card to the total number of customers.<br /><br />Given information:<br />- Number of customers who paid cash: 39<br />- Number of customers who used a debit card: 9<br />- Number of customers who used a credit card: 59<br /><br />Step 1: Calculate the total number of customers.<br />Total number of customers = 39 + 9 + 59 = 107<br /><br />Step 2: Calculate the probability that the next customer will pay with a debit card.<br />Probability of paying with a debit card = Number of customers who paid with a debit card / Total number of customers<br />Probability of paying with a debit card = 9 / 107<br /><br />Therefore, the probability that the next customer will pay with a debit card is 9/107.