Question

independent practice add. show your work. express each 1 ( 3\frac{1}{10}+1\frac{2}{10}=) ____ 3 ( 1\frac{2}{10}+3\frac{7}{10}=) __ 5 ( 2\frac{5}{12}+4\frac{7}{12}=) ____ 7 ( 5\frac{3}{5}+4\frac{4}{5}=)

Explanation:

Problem 1: \( 3\frac{1}{10} + 1\frac{2}{10} \)

Step 1: Add the whole numbers

Add the whole number parts: \( 3 + 1 = 4 \)

Step 2: Add the fractions

Add the fractional parts: \( \frac{1}{10} + \frac{2}{10} = \frac{3}{10} \)

Step 3: Combine whole and fraction

Combine the results: \( 4 + \frac{3}{10} = 4\frac{3}{10} \)

Step 1: Add the whole numbers

Add the whole number parts: \( 1 + 3 = 4 \)

Step 2: Add the fractions

Add the fractional parts: \( \frac{2}{10} + \frac{7}{10} = \frac{9}{10} \)

Step 3: Combine whole and fraction

Combine the results: \( 4 + \frac{9}{10} = 4\frac{9}{10} \)

Step 1: Add the whole numbers

Add the whole number parts: \( 2 + 4 = 6 \)

Step 2: Add the fractions

Add the fractional parts: \( \frac{5}{12} + \frac{7}{12} = \frac{12}{12} = 1 \)

Step 3: Combine whole and fraction

Combine the results: \( 6 + 1 = 7 \)

Answer:

\( 4\frac{3}{10} \)

Problem 3: \( 1\frac{2}{10} + 3\frac{7}{10} \)