High School

Add:

\[ 6 \frac{38}{45} + 2 \frac{5}{9} \]

Enter your answer in the box as a mixed number in simplest form.

Answer :

Answer:

28 1/5

Step-by-step explanation:

​ 6 38/45+2 5/9 ​

6 38/45 = 308/45

2 5/9 = 23/9

The common factor is 45

308/45 + 115/45 = 423/15 = 141/5

141/5 = 28 1/5

Answer:

9[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

6 [tex]\frac{38}{45}[/tex] + 2[tex]\frac{5}{9}[/tex] Use a common denominator of 45 so that you can add together

6 [tex]\frac{38}{45}[/tex] + 2[tex]\frac{25}{45}[/tex] Multiply the top and bottom of the second fraction by 5

8 [tex]\frac{63}{45}[/tex]

8 + [tex]\frac{45}{45}[/tex] + [tex]\frac{18}{45}[/tex] I broke up [tex]\frac{63}{45}[/tex] because I know that [tex]\frac{45}{45}[/tex] is another name for 1

8 + 1 + [tex]\frac{18}{45}[/tex]

9 [tex]\frac{18}{45}[/tex] Divide the numerator and the denominator by 9 to simplify

9[tex]\frac{2}{5}[/tex]