Q. −2+2512=Enter the answer as an exact decimal or simplified fraction.
Identify Numbers and Operation: Identify the numbers and the operation to be performed. We have the integer −2 and the fraction 2512, and we need to add them together.
Convert Integer to Fraction: Convert the integer −2 to a fraction with the same denominator as 2512 to add them.−2 can be written as −12, and to have the same denominator, we multiply both the numerator and the denominator by 25.−12=1×25−2×25=−2550
Add Fractions: Add the two fractions with the same denominator.−2550+2512=25(−50+12)
Perform Addition: Perform the addition in the numerator. −50+12=−38
Write Result as Fraction: Write the result as a fraction.−2538 is the simplified fraction, as the numerator and denominator have no common factors other than 1.
Convert to Decimal: Convert the fraction to a decimal if necessary.Since the question prompt does not specify the format of the answer, we can leave it as a fraction. However, if we were to convert it to a decimal, we would divide the numerator by the denominator.−38÷25=−1.52