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.
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Let’s simplify step by step:
- 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.
- 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:
- Add the two fractions:
- (52/224) + (40/56) = (52 + 40) / 224
- 52 + 40 = 92
- The expression simplifies to 92/224.
- 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.