Question

Rename the mix numbers write the sum in simplest form 3 2/3 + 1 1/4=

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Step 1: Convert mixed numbers to improper fractions.

3 \frac{2}{3} = \frac{11}{3}

1 \frac{1}{4} = \frac{5}{4}

Step 2: Find a common denominator.

The least common denominator for 3 and 4 is 12.

Step 3: Convert fractions to equivalent fractions with the common denominator.

\frac{11}{3} = \frac{11 \cdot 4}{3 \cdot 4} = \frac{44}{12}

\frac{5}{4} = \frac{5 \cdot 3}{4 \cdot 3} = \frac{15}{12}

Step 4: Add the fractions.

\frac{44}{12} + \frac{15}{12} = \frac{44 + 15}{12} = \frac{59}{12}

Step 5: Convert the improper fraction back to a mixed number.

\frac{59}{12} = 4 \frac{59 - (4 \cdot 12)}{12} = 4 \frac{59 - 48}{12} = 4 \frac{11}{12}

Answer:

4 \frac{11}{12}

Step 2: Find a common denominator.

The least common denominator for 3 and 4 is 12.

Step 3: Convert fractions to equivalent fractions with the common denominator.

Step 4: Add the fractions.

Step 5: Convert the improper fraction back to a mixed number.

Answer:

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