Sir please with question 2 8 2/3 + 1 5/6 5 2/5 + 9 3/7 3 7/10 + 6 4/5

Mathematics

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Answer

101210 \frac{1}{2}

8 \frac{2}{3} + 1 \frac{5}{6}

Step 1: Convert mixed numbers to improper fractions.

823=8×3+23=24+23=2638 \frac{2}{3} = \frac{8 \times 3 + 2}{3} = \frac{24 + 2}{3} = \frac{26}{3} 156=1×6+56=6+56=1161 \frac{5}{6} = \frac{1 \times 6 + 5}{6} = \frac{6 + 5}{6} = \frac{11}{6}

Step 2: Find least common denominator of 3 and 6, which is 6.

263=26×23×2=526\frac{26}{3} = \frac{26 \times 2}{3 \times 2} = \frac{52}{6}

Step 3: Add the fractions.

526+116=52+116=636\frac{52}{6} + \frac{11}{6} = \frac{52 + 11}{6} = \frac{63}{6}

Step 4: Simplify \frac{63}{6} to a mixed number.

636=1036=1012\frac{63}{6} = 10 \frac{3}{6} = 10 \frac{1}{2}

10 \frac{1{2}}

5 \frac{2}{5} + 9 \frac{3}{7}

Step 1: Convert mixed numbers to improper fractions.

525=5×5+25=25+25=2755 \frac{2}{5} = \frac{5 \times 5 + 2}{5} = \frac{25 + 2}{5} = \frac{27}{5} 937=9×7+37=63+37=6679 \frac{3}{7} = \frac{9 \times 7 + 3}{7} = \frac{63 + 3}{7} = \frac{66}{7}

Step 2: Find least common denominator of 5 and 7, which is 35.

275=27×75×7=18935\frac{27}{5} = \frac{27 \times 7}{5 \times 7} = \frac{189}{35} 667=66×57×5=33035\frac{66}{7} = \frac{66 \times 5}{7 \times 5} = \frac{330}{35}

Step 3: Add the fractions.

18935+33035=189+33035=51935\frac{189}{35} + \frac{330}{35} = \frac{189 + 330}{35} = \frac{519}{35}

Step 4: Simplify \frac{519}{35} to a mixed number.

51935=142935\frac{519}{35} = 14 \frac{29}{35}

14 \frac{29{35}}

3 \frac{7}{10} + 6 \frac{4}{5}

Step 1: Convert mixed numbers to improper fractions.

3710=3×10+710=30+710=37103 \frac{7}{10} = \frac{3 \times 10 + 7}{10} = \frac{30 + 7}{10} = \frac{37}{10} 645=6×5+45=30+45=3456 \frac{4}{5} = \frac{6 \times 5 + 4}{5} = \frac{30 + 4}{5} = \frac{34}{5}

Step 2: Find least common denominator of 10 and 5, which is 10.

345=34×25×2=6810\frac{34}{5} = \frac{34 \times 2}{5 \times 2} = \frac{68}{10}

Step 3: Add the fractions.

3710+6810=37+6810=10510\frac{37}{10} + \frac{68}{10} = \frac{37 + 68}{10} = \frac{105}{10}

Step 4: Simplify \frac{105}{10} to a mixed number.

10510=10510=1012\frac{105}{10} = 10 \frac{5}{10} = 10 \frac{1}{2}

10 \frac{1{2}}

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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.

Sir please with question 2 8 2/3 + 1 5/6 5 2/5 + 9 3/7 3 7/10 + 6 4/5
Mathematics

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)