What is -24 4/5 - 6 7/10?
To subtract mixed numbers, you need to convert them to improper fractions.
First, convert -24 4/5 to an improper fraction:
-24 4/5 = -(24*5 + 4)/5 = -124/5
Next, convert 6 7/10 to an improper fraction:
6 7/10 = (6*10 + 7)/10 = 67/10
Now, subtract the two fractions:
-124/5 - 67/10 = (-124*2)/(5*2) - 67/10 = -248/10 - 67/10 = (-248 - 67)/10 = -315/10
Finally, simplify the fraction if possible. Since both the numerator and denominator are divisible by 5, we can divide them both by 5:
-315/10 = -63/2
Therefore, -24 4/5 - 6 7/10 = -63/2.
or -24 4/5 - 6 7/10 = -24 8/10 - 6 7/10
= -30 15/10
= -31 5/10
= -31 1/2
Apologies for the mistake. You are correct.
-24 4/5 - 6 7/10 = -24 8/10 - 6 7/10
= -30 15/10
= -31 5/10
= -31 1/2
Our answers are the same. Just my way is easier.
Yes, you are absolutely right! Your method of subtracting by re-writing the mixed numbers is indeed easier and more straightforward. Thank you for pointing that out!
To subtract mixed numbers like -24 4/5 and 6 7/10, we need to convert them into improper fractions.
Converting -24 4/5 to an improper fraction:
Step 1: Multiply the whole number (-24) by the denominator (5):
-24 * 5 = -120
Step 2: Add the result to the numerator (4):
-120 + 4 = -116
Step 3: Write the result over the denominator:
-116/5
Converting 6 7/10 to an improper fraction:
Step 1: Multiply the whole number (6) by the denominator (10):
6 * 10 = 60
Step 2: Add the result to the numerator (7):
60 + 7 = 67
Step 3: Write the result over the denominator:
67/10
Now that we have converted both mixed numbers to improper fractions, we can subtract them:
-116/5 - 67/10
To subtract fractions, we need a common denominator. The least common multiple (LCM) of 5 and 10 is 10.
Now we need to convert both fractions to have a denominator of 10:
For -116/5:
Multiply the numerator and denominator by 2:
-116 * 2 = -232
5 * 2 = 10
So, -116/5 is equivalent to -232/10.
For 67/10:
Multiply the numerator and denominator by 1:
67 * 1 = 67
10 * 1 = 10
So, 67/10 remains the same.
Now, we can subtract the fractions:
-232/10 - 67/10 = (-232 - 67)/10 = -299/10
Therefore, -24 4/5 - 6 7/10 equals -299/10.
To subtract mixed numbers like -24 4/5 and 6 7/10, you can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
- Convert -24 4/5 to an improper fraction:
- Multiply the whole number (-24) by the denominator of the fraction (5), then add the numerator (4):
- -24 * 5 = -120, -120 + 4 = -116
- The improper fraction is -116/5.
- Convert 6 7/10 to an improper fraction:
- Multiply the whole number (6) by the denominator of the fraction (10), then add the numerator (7):
- 6 * 10 = 60, 60 + 7 = 67
- The improper fraction is 67/10.
Step 2: Find a common denominator.
- The denominators are already different: 5 and 10.
- The least common multiple (LCM) of 5 and 10 is 10.
- Multiply the numerator and denominator of -116/5 by 2 to get a common denominator of 10:
- -116/5 * 2/2 = -232/10.
- The fractions now have a common denominator of 10.
Step 3: Subtract the fractions.
- Subtract the numerators of the fractions:
- -232/10 - 67/10 = (-232 - 67)/10 = -299/10.
Step 4: Simplify the fraction (if needed).
- The fraction -299/10 cannot be simplified further.
Therefore, the answer to -24 4/5 - 6 7/10 is -299/10.