(13)/(56)+(5)/(7)

The expression you mentioned, (13)/(56)+(5)/(7), involves fractions and addition. I’ll break it down for you in a clear and concise manner:

To simplify the expression, we need to find a common denominator for the fractions involved. In this case, the common denominator is 56 since both fractions have denominators of 56 and 7.

Let’s simplify step by step:

  1. Convert the first fraction, (13)/(56), to have a denominator of 56:
    • Multiply the numerator (13) and the denominator (56) by the same number (4).
    • (13) * (4) = 52
    • (56) * (4) = 224
    • The first fraction becomes 52/224.
  2. Convert the second fraction, (5)/(7), to have a denominator of 56:
    • Multiply the numerator (5) and the denominator (7) by the same number (8).
    • (5) * (8) = 40
    • (7) * (8) = 56
    • The second fraction becomes 40/56.

Now that both fractions have a common denominator of 56, we can add them together:

  1. Add the two fractions:
    • (52/224) + (40/56) = (52 + 40) / 224
    • 52 + 40 = 92
    • The expression simplifies to 92/224.
  2. Simplify the fraction:
    • To simplify the fraction further, we can find the greatest common divisor (GCD) of the numerator and the denominator, which is 4.
    • Divide both the numerator and the denominator by the GCD (4).
    • (92/4) / (224/4) = 23/56

So, the expression (13)/(56)+(5)/(7) simplifies to 23/56.

I hope this explanation helps! If you have any further questions, feel free to ask.

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