# (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.