Certainly! Let’s tackle each question step-by-step.
Question 1: Find the value of 24 + 38
To find the value, we simply add the two numbers together:
[tex]\[ 24 + 38 = 62 \][/tex]
So, the answer is:
[tex]\[ \boxed{A. 62} \][/tex]
Question 2: Convert [tex]\( 2 \frac{5}{9} \)[/tex] to an improper fraction
To convert a mixed number to an improper fraction, follow these steps:
1. Multiply the whole number part by the denominator of the fractional part.
2. Add the numerator of the fractional part to the result from step 1.
3. Place the result from step 2 over the original denominator.
In this case:
1. Multiply the whole number part (2) by the denominator (9):
[tex]\[ 2 \times 9 = 18 \][/tex]
2. Add the numerator of the fractional part (5) to the result:
[tex]\[ 18 + 5 = 23 \][/tex]
3. Place this result over the original denominator (9):
[tex]\[ \frac{23}{9} \][/tex]
So, the mixed number [tex]\( 2 \frac{5}{9} \)[/tex] as an improper fraction is:
[tex]\[ \boxed{B. \frac{23}{9}} \][/tex]
Therefore, the answers are:
1. [tex]\( \boxed{A. 62} \)[/tex]
2. [tex]\( \boxed{B. \frac{23}{9}} \)[/tex]
