what is 4 5/6 + 3 1/4?
would it be 29/6 + 13/4
then 116/24 + 78/24
then 194/24
for a total of 8 1/12?
yes
I would have picked 12 as the LCD
To solve the addition problem 4 5/6 + 3 1/4, you first need to convert the mixed numbers into improper fractions.
4 5/6 can be converted to an improper fraction as follows:
4 x 6 = 24 (denominator of the mixed number)
24 + 5 = 29 (numerator of the mixed number)
So, 4 5/6 becomes 29/6.
Similarly, 3 1/4 can be converted to an improper fraction as follows:
3 x 4 = 12 (denominator of the mixed number)
12 + 1 = 13 (numerator of the mixed number)
So, 3 1/4 becomes 13/4.
Now that you have both fractions, you can add them together.
When adding fractions, you need to make sure they have the same denominator. In this case, the denominators are 6 and 4 respectively. To find a common denominator, you can multiply the two denominators together to get 24.
Now, you convert the fractions to have the common denominator of 24:
29/6 can be converted to 116/24 by multiplying the numerator and denominator by 4 (to get the same denominator of 24).
13/4 can be converted to 78/24 by multiplying the numerator and denominator by 6 (to get the same denominator of 24).
Now, you can add the two fractions together:
116/24 + 78/24 = 194/24.
Lastly, you can simplify the fraction 194/24 by finding the greatest common divisor (GCD) of 194 and 24, which is 2. Dividing both the numerator and the denominator by 2 gives:
194/24 ÷ 2 = 97/12.
Therefore, the sum of 4 5/6 and 3 1/4 is 8 1/12, or 97/12 as an improper fraction.