Question

find the sum. simplify your answer.
3\frac{5}{10} + 1\frac{1}{5} = \square\frac{\square}{\square}

Explanation:

Step1: Add the whole numbers

The whole numbers are 3 and 1. So, \( 3 + 1 = 4 \).

Step2: Add the fractions

First, we need a common denominator for \( \frac{5}{10} \) and \( \frac{1}{5} \). The denominator of the second fraction is 5, and we can convert \( \frac{1}{5} \) to tenths by multiplying numerator and denominator by 2: \( \frac{1\times2}{5\times2}=\frac{2}{10} \). Now we add the fractions: \( \frac{5}{10}+\frac{2}{10}=\frac{5 + 2}{10}=\frac{7}{10} \).

Step3: Combine the whole number and fraction

We add the result from Step1 and Step2: \( 4+\frac{7}{10}=4\frac{7}{10} \).

Answer:

\( 4\frac{7}{10} \)