$-\frac{186}{200}+0.3=$ $\newline$ Enter the answer as an exact decimal or simplified fraction.

Full solution

-\frac{186}{200}+0.3=

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Enter the answer as an exact decimal or simplified fraction.

Simplify Fraction: Simplify the fraction $-\frac{186}{200}$ . To simplify the fraction, we need to divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of $186$ and $200$ is $2$ . $-\frac{186}{200} = \left(-\frac{186 \div 2}{200 \div 2}\right) = -\frac{93}{100}$
Convert Decimal to Fraction: Convert the decimal $0.3$ to a fraction. $\newline$ To convert the decimal $0.3$ to a fraction, we write it as $\frac{3}{10}$ because $0.3$ is the same as $3$ tenths. $\newline$ $0.3 = \frac{3}{10}$
Add Fractions: Add the two fractions $-\frac{93}{100}$ and $\frac{3}{10}$ . To add fractions, they must have a common denominator. The common denominator for $100$ and $10$ is $100$ . We need to convert $\frac{3}{10}$ to a fraction with a denominator of $100$ . $\frac{3}{10} = \left(\frac{3 \times 10}{10 \times 10}\right) = \frac{30}{100}$ Now we can add the two fractions: $-\frac{93}{100} + \frac{30}{100} = \frac{-93 + 30}{100} = -\frac{63}{100}$
Simplify Result: Simplify the result, if possible. $\newline$ The fraction $-\frac{63}{100}$ is already in its simplest form because $63$ and $100$ do not have any common divisors other than $1$ . $\newline$ So, the final answer is $-\frac{63}{100}$ .