3 1/6 + 2 3/10 = Give answer in simplest form

Several of us have shown you how to do this kind of problem.

Now it's your turn!

I'll be glad to check your answer.

5 7/15

Right.

Thanks

You're welcome.

To add mixed numbers like 3 1/6 and 2 3/10, you first need to convert them to improper fractions.

To do so, multiply the whole number by the denominator of the fraction in the mixed number, and then add the numerator.

For 3 1/6:
Multiply 3 by 6 (denominator) and add 1 (numerator) to get 19/6.

For 2 3/10:
Multiply 2 by 10 (denominator) and add 3 (numerator) to get 23/10.

Now that we have the improper fractions, we can add them. To add fractions, we need a common denominator, which in this case is 60 (the least common multiple of 6 and 10).

Now, let's rewrite 19/6 and 23/10 with a common denominator of 60:
For 19/6, multiply the numerator and denominator by 10 to get 190/60.
For 23/10, multiply the numerator and denominator by 6 to get 138/60.

Now we can add the fractions:
190/60 + 138/60 = 328/60.

To simplify the fraction, we can cancel out any common factors between the numerator and denominator. In this case, both 328 and 60 are divisible by 4:
328/60 can be simplified to 82/15.

Therefore, the sum of 3 1/6 and 2 3/10 in simplest form is 82/15.