$-\frac{6}{20}+1.5=$ $\newline$ Enter the answer as an exact decimal or simplified fraction.

Full solution

-\frac{6}{20}+1.5=

\newline

Enter the answer as an exact decimal or simplified fraction.

Simplify Fraction: Simplify the fraction $-\frac{6}{20}$ . To simplify the fraction, we find the greatest common divisor (GCD) of $6$ and $20$ , which is $2$ . We then divide both the numerator and the denominator by $2$ . $-6 \div 2 = -3$ $20 \div 2 = 10$ So, $-\frac{6}{20}$ simplifies to $-\frac{3}{10}$ .
Convert Decimal to Fraction: Convert the decimal $1.5$ to a fraction. $\newline$ $1.5$ can be written as $1 \frac{1}{2}$ , which is the same as $\frac{3}{2}$ when converted to an improper fraction.
Add Fractions: Add the simplified fraction $-\frac{3}{10}$ to the fraction $\frac{3}{2}$ . To add these fractions, we need a common denominator. The least common denominator (LCD) for $10$ and $2$ is $10$ . We convert $\frac{3}{2}$ to a fraction with a denominator of $10$ by multiplying both the numerator and the denominator by $5$ . $\frac{3}{2} \times \frac{5}{5} = \frac{15}{10}$ Now we can add $-\frac{3}{10}$ and $\frac{3}{2}$ $0$ . $\frac{3}{2}$ $1$
Perform Addition: Perform the addition. $(15 - 3)/10 = 12/10$
Simplify Fraction: Simplify the fraction $\frac{12}{10}$ . The GCD of $12$ and $10$ is $2$ . We divide both the numerator and the denominator by $2$ to simplify the fraction. $12 \div 2 = 6$ $10 \div 2 = 5$ So, $\frac{12}{10}$ simplifies to $\frac{6}{5}$ .
Convert Fraction to Decimal: Convert the simplified fraction $\frac{6}{5}$ back to a decimal. $6 \div 5 = 1.2$