this is hard help me

Question

lucy ran 3 and a half mi on mon 5 and three fifths  tues 2 three forths thur and 6 two third on fri find the total distance lucy ran this week

Answer 1

3 1/2 + 5 3/5 + 2 3/4 + 6 2/3

make the terms into improper fractions

(3 * 2/2 + 1/2) + (5 * 5/5 + 3/5) + (2 * 4/4 + 3/4) + (6 * 3/3 + 2/3)

(6/2 + 1/2) + (25/5 + 3/5) + (8/4 + 3/4) + (18/3 + 2/3)

(7/2) + (28/5) + (11/4) + (20/3)

Factor the denominators to find the Least Common Denominator (LCD)

2 = 2 * 1

5 = 5 * 1

4 = 2 * 2

3 = 3 * 1

LCD = 5 * 2 * 2 * 3 = 60

Get the fractions into a form where they have a common denominator.

(7/2) * ((5 * 2 * 3) / (5 * 2 * 3)) + (28/5) * ((2 * 2 * 3) / (2 * 2 * 3)) + (11/4) * ((5 * 3) / (5 * 3)) + (20/3) * ((5 * 2 * 2) / (5 * 2 * 2))

(7/2) * (30/30) + (28/5) * (12/12) + (11/4) * (15/15) + (20/3) * (20/20)

(210/60) + (336/60) + (165/60) + (400/60)

(210 + 336 + 165 + 400) /60

1111 / 60

Convert back to an improper fraction

18 31/60