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$-5 + \frac{3}{75}$

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Simplify radical expressions involving fractions

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Q.

-5 + \frac{3}{75}

Simplify Fraction: First, simplify the fraction $\frac{3}{75}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ $3 \div 3 = 1$ $\newline$ $75 \div 3 = 25$ $\newline$ So, $\frac{3}{75}$ simplifies to $\frac{1}{25}$ .
Add to $-5$ : Now, add the simplified fraction to $-5$ .\-5 + \frac{1}{25}
Convert to Common Denominator: To add the fraction to the whole number, we can think of $-5$ as $-\frac{5}{1}$ . $\newline$ $-\frac{5}{1} + \frac{1}{25}$
Add Fractions: Find a common denominator to add the fractions. The common denominator is $25$ . $\newline$ $(-\frac{5}{1}) \times (\frac{25}{25}) = -\frac{125}{25}$ $\newline$ Now add $-\frac{125}{25}$ and $\frac{1}{25}$ . $\newline$ $-\frac{125}{25} + \frac{1}{25} = -\frac{124}{25}$

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