Problem 44 - Introductory Algebra for College Students

Question

Find each sum without the use of a number line. $$-50+\left(-\frac{7}{9}\right)+35+\left(-\frac{11}{9}\right)$$

Step-by-Step Solution

Answer

The solution to \(-50+(-7/9)+35+(-11/9)\) is \(-17\).

Step 1: Summing the Integers

First, add the integers together. This gives \(-50 + 35 = -15\).

Step 2: Summing the Fraction Values

Next, add the fractions together. This gives \(-7/9 + -11/9 = -18/9\). The result simplifies to \(-2\).

Step 3: Combining the Sum of Integers and Fractions

Finally, add the sum of the integers to the sum of the fractions. This gives -15 + -2 = -17.