24 4/5+6 7/10
To solve the addition problem 24 4/5 + 6 7/10, you can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
24 4/5 can be written as 24 + (4/5) = 24 * (5/5) + (4/5) = (120/5) + (4/5) = 124/5
6 7/10 can be written as 6 + (7/10) = 6 * (10/10) + (7/10) = (60/10) + (7/10) = 67/10
Step 2: Find a common denominator.
The common denominator for 5 and 10 is 10, so we need to convert both fractions to have a denominator of 10.
124/5 * 2/2 = 248/10
67/10 * 1/1 = 67/10
Step 3: Add the fractions together.
248/10 + 67/10 = 315/10
Step 4: Simplify the fraction (if required).
The fraction 315/10 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5.
315/10 ÷ 5/5 = (315 ÷ 5) / (10 ÷ 5) = 63/2
Therefore, 24 4/5 + 6 7/10 = 63/2 or 31 1/2.
To add these mixed numbers:
Step 1: Convert the mixed numbers to improper fractions.
24 4/5 = (5 * 24 + 4)/5 = 124/5
6 7/10 = (10 * 6 + 7)/10 = 67/10
Step 2: Find a common denominator, which in this case is 10.
Multiply the denominators and multiply each numerator by the opposite denominator.
5 * 10 = 50
124 * 10 = 1240
10 * 5 = 50
67 * 5 = 335
Step 3: Add the fractions together.
1240/50 + 335/50 = (1240 + 335)/50 = 1575/50
Step 4: Simplify the fraction if possible.
1575/50 = 31/1 = 31
Therefore, 24 4/5 + 6 7/10 = 31.