Question

Add 7 3/10 simlify the answer and write it as a mixed number ?17/3011 7/2511 7/3011 17/30

Answer 1

To add mixed numbers first, we can add the whole numbers:

`7+4=11`

Now, we can add the fractions. For this, we can find the lowest common denominator (LCD) of both denominators. The LCD is the lowest number that is evenly divisible by both numbers. Since the denominators of the fractions are 10 and 15, the LCD is 30 because 30 is the smallest number that is divisible by 10 and 15. Then, we have:

`\begin{gathered} (3)/(10)+(4)/(15)=(3\cdot3)/(10\cdot3)+(4\cdot2)/(15\cdot2) \\ (3)/(10)+(4)/(15)=(9)/(30)+(8)/(30) \\ (3)/(10)+(4)/(15)=(9+8)/(30) \\ (3)/(10)+(4)/(15)=(17)/(30) \end{gathered}`

Therefore, the result of adding the given mixed numbers is:

`$$\boldsymbol{7(3)/(10)+4(4)/(15)=11(17)/(30)}$$`