Rinda needs to solve the problem 1 and 2/9+5 and 2/3

Question

. What is the sum?(1 point)

Answer 1

To solve the problem \( 1 \frac{2}{9} + 5 \frac{2}{3} \), first convert the mixed numbers into improper fractions.

1. Convert \( 1 \frac{2}{9} \) to an improper fraction: \[ 1 \frac{2}{9} = \frac{1 \times 9 + 2}{9} = \frac{9 + 2}{9} = \frac{11}{9} \]

2. Convert \( 5 \frac{2}{3} \) to an improper fraction: \[ 5 \frac{2}{3} = \frac{5 \times 3 + 2}{3} = \frac{15 + 2}{3} = \frac{17}{3} \]

Now, we need to find the sum of \( \frac{11}{9} + \frac{17}{3} \). To do this, we need a common denominator. The least common multiple of 9 and 3 is 9.

Now, convert \( \frac{17}{3} \) to have a denominator of 9: \[ \frac{17}{3} = \frac{17 \times 3}{3 \times 3} = \frac{51}{9} \]

Now add the two fractions: \[ \frac{11}{9} + \frac{51}{9} = \frac{11 + 51}{9} = \frac{62}{9} \]

Finally, convert \( \frac{62}{9} \) back to a mixed number: \[ \frac{62}{9} = 6 \frac{8}{9} \]

So the sum of \( 1 \frac{2}{9} + 5 \frac{2}{3} \) is \( 6 \frac{8}{9} \).