113/125 + 0,58 - 103/125

To simplify the expression \( \frac{113}{125} + 0.58 - \frac{103}{125} \), follow these steps:

1. Convert \( 0.58 \) to a fraction: \[ 0.58 = \frac{58}{100} = \frac{29}{50} \]

2. Convert \( \frac{29}{50} \) to have a common denominator with \( \frac{113}{125} \) and \( \frac{103}{125} \). The least common multiple of \( 50 \) and \( 125 \) is \( 250 \): \[ \frac{29}{50} = \frac{29 \times 5}{50 \times 5} = \frac{145}{250} \]

3. Convert \( \frac{113}{125} \) and \( \frac{103}{125} \) to have the same denominator of \( 250 \): \[ \frac{113}{125} = \frac{113 \times 2}{125 \times 2} = \frac{226}{250} \] \[ \frac{103}{125} = \frac{103 \times 2}{125 \times 2} = \frac{206}{250} \]

4. Now substitute these fractions back into the expression: \[ \frac{226}{250} + \frac{145}{250} - \frac{206}{250} \]

5. Combine the fractions: \[ \frac{226 + 145 - 206}{250} = \frac{165}{250} \]

6. Simplify \(\frac{165}{250}\): The greatest common divisor of \(165\) and \(250\) is \(5\): \[ \frac{165 \div 5}{250 \div 5} = \frac{33}{50} \]

Thus, the final result is: \[ \frac{33}{50} \]