Please 5 2/5 + 9 3/7

Mathematics

ScanSolve AI Answer

Answer

14293514 \frac{29}{35}

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 common denominator (LCM of 5 and 7 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: Convert improper fraction to mixed number.

519÷35=14519 \div 35 = 14 remainder 51935×14=519490=29519 - 35 \times 14 = 519 - 490 = 29

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

14 \frac{29{35}}

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Quick Answer

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 common denominator (LCM of 5 and 7 is 35).

Please 5 2/5 + 9 3/7
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
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 common denominator (LCM of 5 and 7 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: Convert improper fraction to mixed number. 519 ÷ 35 = 14 remainder 519 - 35 × 14 = 519 - 490 = 29 (519)/(35) = 14 (29)/(35) 14 (29)/(35)