Question

add.
$-3\frac{1}{5} + 7.8 = \square$

Explanation:

Step1: Convert mixed number to decimal

First, convert \(-3\frac{1}{5}\) to a decimal. We know that \(\frac{1}{5} = 0.2\), so \(-3\frac{1}{5}=-3 - 0.2=-3.2\).

Step2: Add the two decimals

Now we add \(-3.2\) and \(7.8\). Using the rule for adding a negative and a positive number: \(a + b\) where \(a\) is negative and \(b\) is positive, we subtract the absolute values and take the sign of the number with the larger absolute value. So \(7.8-3.2 = 4.6\).

Answer:

\(4.6\)