$-1.125+\frac{24}{20}=$ $\newline$ Enter the answer as an exact decimal or simplified fraction.

Full solution

-1.125+\frac{24}{20}=

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Enter the answer as an exact decimal or simplified fraction.

Convert to Improper Fraction: Convert the mixed number to an improper fraction. $\newline$ $-1.125$ is already a decimal, so we can leave it as is. The fraction $(\frac{24}{20})$ can be simplified. $\newline$ $\frac{24}{20} = \frac{6}{5}$ after dividing both numerator and denominator by $4$ .
Convert to Fraction: Convert the decimal to a fraction. $\newline$ $-1.125$ as a fraction is $-1 \frac{1}{8}$ because $0.125$ is $\frac{1}{8}$ . $\newline$ So, $-1.125 = -1 - \frac{1}{8} = -\frac{8}{8} - \frac{1}{8} = -\frac{9}{8}$ .
Add Fractions: Add the two fractions. $\newline$ Now we add $-\frac{9}{8}$ and $\frac{6}{5}$ . To do this, we need a common denominator. The least common multiple of $8$ and $5$ is $40$ . $\newline$ So, we convert $-\frac{9}{8}$ to $-\frac{45}{40}$ and $\frac{6}{5}$ to $\frac{48}{40}$ .
Perform Addition: Perform the addition. $\newline$ Now we add the two fractions with the common denominator. $\newline$ $-\frac{45}{40} + \frac{48}{40} = \frac{48 - 45}{40} = \frac{3}{40}$ .
Check for Simplification: Check if the fraction can be simplified. $\newline$ The fraction $\frac{3}{40}$ is already in its simplest form, as $3$ and $40$ have no common factors other than $1$ .