Math Problem Statement

6 1/5 + 9 2/3 = ?

Solution

It seems like I can’t do more advanced data analysis right now. Please try again later. However, I can still help with solving the problem based on the image directly.

The equation in the image is:

615+9236 \frac{1}{5} + 9 \frac{2}{3}

Let me walk you through solving it step by step:

  1. Convert the mixed numbers into improper fractions:

    • 615=3156 \frac{1}{5} = \frac{31}{5} because 6×5+1=316 \times 5 + 1 = 31.
    • 923=2939 \frac{2}{3} = \frac{29}{3} because 9×3+2=299 \times 3 + 2 = 29.
  2. Now, add the two improper fractions: 315+293\frac{31}{5} + \frac{29}{3} To add these fractions, we need a common denominator, which is 15.

    • Multiply 315\frac{31}{5} by 33\frac{3}{3} to get 9315\frac{93}{15}.
    • Multiply 293\frac{29}{3} by 55\frac{5}{5} to get 14515\frac{145}{15}.
  3. Now, add the numerators: 9315+14515=23815\frac{93}{15} + \frac{145}{15} = \frac{238}{15}

  4. Convert 23815\frac{238}{15} into a mixed number: 238÷15=15 remainder 13238 \div 15 = 15 \text{ remainder } 13 So, 23815=151315\frac{238}{15} = 15 \frac{13}{15}.

Thus, the final answer is:

15131515 \frac{13}{15}

Let me know if you'd like further details or have any questions!

Here are 5 related questions to practice:

  1. 734+523=?7 \frac{3}{4} + 5 \frac{2}{3} = ?
  2. 312+835=?3 \frac{1}{2} + 8 \frac{3}{5} = ?
  3. 1056613=?10 \frac{5}{6} - 6 \frac{1}{3} = ?
  4. 1278+456=?12 \frac{7}{8} + 4 \frac{5}{6} = ?
  5. 9310+247=?9 \frac{3}{10} + 2 \frac{4}{7} = ?

Tip: When adding or subtracting mixed numbers, always convert them to improper fractions first for easier calculation!

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Math Problem Analysis

Mathematical Concepts

Fractions
Mixed Numbers
Addition of Fractions

Formulas

Conversion of mixed numbers to improper fractions
Finding a common denominator for addition of fractions
Adding fractions

Theorems

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Suitable Grade Level

Grades 5-7