Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the sum. Give your answer as a simplified mixed number.
{:[12(4)/(9)+5(1)/(3)],[[◻]([◻])/([◻])]:}

Find the sum. Give your answer as a simplified mixed number.\newline1249+513[][][] \begin{array}{c} 12 \frac{4}{9}+5 \frac{1}{3} \\ {[\square] \frac{[\square]}{[\square]}} \end{array}

Full solution

Q. Find the sum. Give your answer as a simplified mixed number.\newline1249+513[][][] \begin{array}{c} 12 \frac{4}{9}+5 \frac{1}{3} \\ {[\square] \frac{[\square]}{[\square]}} \end{array}
  1. Add Whole Numbers: First, we need to add the whole numbers together and then add the fractions separately.\newlineThe whole numbers to add are 1212 and 55.\newline12+5=1712 + 5 = 17
  2. Add Fractions with Common Denominator: Next, we add the fractions 49\frac{4}{9} and 13\frac{1}{3}. To add fractions, they must have a common denominator. The least common denominator (LCD) for 99 and 33 is 99.
  3. Convert Fraction to Common Denominator: Now we convert 13\frac{1}{3} to a fraction with a denominator of 99. To do this, we multiply both the numerator and the denominator by 33. \newline13×(33)=39\frac{1}{3} \times \left(\frac{3}{3}\right) = \frac{3}{9}
  4. Add Fractions with Common Denominator: We can now add the fractions 49\frac{4}{9} and 39\frac{3}{9} since they have the same denominator.\newline49+39=79\frac{4}{9} + \frac{3}{9} = \frac{7}{9}
  5. Combine Whole Numbers and Fractions: Finally, we combine the sum of the whole numbers with the sum of the fractions. 1717 (whole number) + 79\frac{7}{9} (fraction) = 177917\frac{7}{9}