How do you calculate the sum of mixed numbers 6 1/5 and 3 1/4?

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To calculate the sum of the mixed numbers 6 1/5 and 3 1/4, it is important to convert each mixed number into an improper fraction first.

For 6 1/5:

  • Convert it to an improper fraction:

  • Multiply the whole number (6) by the denominator (5): 6 * 5 = 30.

  • Then add the numerator (1): 30 + 1 = 31.

  • So, 6 1/5 becomes 31/5.

For 3 1/4:

  • Similarly, convert it to an improper fraction:

  • Multiply the whole number (3) by the denominator (4): 3 * 4 = 12.

  • Then add the numerator (1): 12 + 1 = 13.

  • Thus, 3 1/4 becomes 13/4.

Next, to sum these two fractions, we need to find a common denominator. The least common denominator (LCD) of 5 and 4 is 20.

Now, convert each improper fraction:

  • For 31/5, multiply both the numerator and denominator by 4:

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