To solve this problem, follow these steps:
Convert the mixed numbers to improper fractions:12 19/24 = (24 12 + 19) / 24 = 307 / 245 19/28 = (28 5 + 19) / 28 = 159 / 28
Add the two fractions:307/24 + 159/28
To find a common denominator, we need to find the least common multiple of 24 and 28, which is 168.
Now, convert 307/24 and 159/28 to have the common denominator of 168:
307/24 7/7 = 2149 / 168159/28 6/6 = 954 / 168
Adding the fractions:
2149/168 + 954/168 = 3103/168
Convert 3 19/24 to an improper fraction:3 19/24 = (24 * 3 + 19) / 24 = 91 / 24
Subtract the fractions:
3103/168 - 91/24
To find the common denominator, we can multiply 168 and 24 to get a common denominator of 4032.
3103/168 24/24 = 74472 / 403291/24 168/168 = 1911 / 4032
Subtracting the fractions:
74472/4032 - 1911/4032 = 72561 / 4032
Therefore, the final answer is 72561/4032 or simplified as a mixed number would be 17 1789/4032.
To solve this problem, follow these steps:
Convert the mixed numbers to improper fractions:
12 19/24 = (24 12 + 19) / 24 = 307 / 24
5 19/28 = (28 5 + 19) / 28 = 159 / 28
Add the two fractions:
307/24 + 159/28
To find a common denominator, we need to find the least common multiple of 24 and 28, which is 168.
Now, convert 307/24 and 159/28 to have the common denominator of 168:
307/24 7/7 = 2149 / 168
159/28 6/6 = 954 / 168
Adding the fractions:
2149/168 + 954/168 = 3103/168
Subtract 3 19/24 from 3103/168Convert 3 19/24 to an improper fraction:
3 19/24 = (24 * 3 + 19) / 24 = 91 / 24
Subtract the fractions:
3103/168 - 91/24
To find the common denominator, we can multiply 168 and 24 to get a common denominator of 4032.
3103/168 24/24 = 74472 / 4032
91/24 168/168 = 1911 / 4032
Subtracting the fractions:
74472/4032 - 1911/4032 = 72561 / 4032
Therefore, the final answer is 72561/4032 or simplified as a mixed number would be 17 1789/4032.