Final answer:
To find the decimal weight of Celia's 4 5/8 ounces cell phone, first convert the mixed number to an improper fraction (37/8), then use long division to find that 5/8 is 0.625, resulting in a phone weight of 4.625 ounces.
Step-by-step explanation:
Celia's new cell phone weighs 4 5/8 ounces. To convert this mixed number to a decimal using long division, you need to follow these steps:
Convert the mixed number to an improper fraction. Since 1 whole is 8/8, and Celia's phone weighs 4 wholes and 5/8 more, you have (4 × 8/8) + 5/8 which is 37/8.Now, divide 37 by 8 to convert the improper fraction to a decimal. Start by setting the long division: /37 by 8. Since 8 goes into 37 four times, you write down 4 above the division line and subtract (4 × 8) from 37, which gives you a remainder of 5.Next, add a decimal to the quotient, and a zero to the remainder to continue the division: 50/8. 8 goes into 50 six times, which is 48, so you subtract this from 50, leaving a remainder of 2.Again, add another zero to the remainder and bring it down: 20/8. This time, 8 goes into 20 two times (16), and remainders with 4.Continue this pattern until you reach a point when the remainder either repeats or becomes zero. The division shows that 5/8 is equivalent to 0.625.
Therefore, the weight of Celia's phone as a decimal is 4.625 ounces.