This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
8 (2)/(3) + 1 (5)/(6) Step 1: Convert mixed numbers to improper fractions. 8 (2)/(3) = (8 × 3 + 2)/(3) = (24 + 2)/(3) = (26)/(3) 1 (5)/(6) = (1 × 6 + 5)/(6) = (6 + 5)/(6) = (11)/(6) Step 2: Find least common denominator of 3 and 6, which is 6. (26)/(3) = (26 × 2)/(3 × 2) = (52)/(6) Step 3: Add the fractions. (52)/(6) + (11)/(6) = (52 + 11)/(6) = (63)/(6) Step 4: Simplify (63)/(6) to a mixed number. (63)/(6) = 10 (3)/(6) = 10 (1)/(2) 10 (1)/(2) 5 (2)/(5) + 9 (3)/(7) Step 1: Convert mixed numbers to improper fractions. 5 (2)/(5) = (5 × 5 + 2)/(5) = (25 + 2)/(5) = (27)/(5) 9 (3)/(7) = (9 × 7 + 3)/(7) = (63 + 3)/(7) = (66)/(7) Step 2: Find least common denominator of 5 and 7, which is 35. (27)/(5) = (27 × 7)/(5 × 7) = (189)/(35) (66)/(7) = (66 × 5)/(7 × 5) = (330)/(35) Step 3: Add the fractions. (189)/(35) + (330)/(35) = (189 + 330)/(35) = (519)/(35) Step 4: Simplify (519)/(35) to a mixed number. (519)/(35) = 14 (29)/(35) 14 (29)/(35) 3 (7)/(10) + 6 (4)/(5) Step 1: Convert mixed numbers to improper fractions. 3 (7)/(10) = (3 × 10 + 7)/(10) = (30 + 7)/(10) = (37)/(10) 6 (4)/(5) = (6 × 5 + 4)/(5) = (30 + 4)/(5) = (34)/(5) Step 2: Find least common denominator of 10 and 5, which is 10. (34)/(5) = (34 × 2)/(5 × 2) = (68)/(10) Step 3: Add the fractions. (37)/(10) + (68)/(10) = (37 + 68)/(10) = (105)/(10) Step 4: Simplify (105)/(10) to a mixed number. (105)/(10) = 10 (5)/(10) = 10 (1)/(2) 10 (1)/(2)