Use the additive inverse to find -24 4/5- (6 7/10)
To find the difference between -24 4/5 and - (6 7/10), we need to subtract the second number from the first number.
The additive inverse of - (6 7/10) is 6 7/10.
Now we can subtract - (6 7/10) from -24 4/5:
-24 4/5 - (6 7/10) = -24 4/5 + 6 7/10
To add these fractions, we need to find a common denominator. The least common denominator (LCD) of 5 and 10 is 10.
Converting -24 4/5 and 6 7/10 to have a denominator of 10:
-24 4/5 becomes -24 × 10/5 + 4/5 = -240/5 + 4/5 = -236/5
6 7/10 becomes 6 × 10/10 + 7/10 = 60/10 + 7/10 = 67/10
Now we can add the fractions:
-236/5 + 67/10 = (-236 × 2)/(5 × 2) + 67/10 = -472/10 + 67/10 = (-472 + 67)/10 = -405/10
Simplifying the fraction gives us:
-405/10 = -40 5/10
The final result is -40 5/10.
To find the difference between -24 4/5 and (6 7/10), we can use the concept of additive inverse.
Step 1: Convert the mixed numbers into improper fractions:
-24 4/5 = -((5 * 24) + 4)/5 = -(120 + 4)/5 = -124/5
6 7/10 = (10 * 6 + 7)/10 = 67/10
Step 2: Rewrite the subtraction as the addition of the additive inverse:
-124/5 - 67/10
Step 3: Find the least common multiple (LCM) of the two denominators, 5 and 10:
The LCM of 5 and 10 is 10.
Step 4: Convert both fractions to have a common denominator of 10:
(-124/5) * (2/2) = -248/10
67/10
Step 5: Perform the subtraction:
-248/10 - 67/10 = (-248 - 67)/10 = -315/10
Step 6: Simplify the result, if necessary:
-315/10 = -(315/10) * (1/5) = -63/2
Therefore, -24 4/5 - (6 7/10) = -63/2.