what is -6 7/12 - 4 1/3?(1 point)
To subtract mixed numbers, we need to convert them to improper fractions first.
-6 7/12 can be converted to an improper fraction as follows:
-6 7/12 = (-6 * 12 + 7) / 12 = (-72 + 7) / 12 = -65/12
Similarly, 4 1/3 can be converted to an improper fraction as follows:
4 1/3 = (4 * 3 + 1) / 3 = (12 + 1) / 3 = 13/3
Now we can subtract the improper fractions:
-65/12 - 13/3
Since the denominators are different, we need to find a common denominator. In this case, the least common multiple of 12 and 3 is 12.
Multiplying the numerator and denominator of -65/12 by 1 (to get 12 in the denominator) gives us:
(-65 * 1) / (12 * 1) = -65/12
Multiplying the numerator and denominator of 13/3 by 4 (to get 12 in the denominator) gives us:
(13 * 4) / (3 * 4) = 52/12
Now that both fractions have the same denominator, we can subtract them:
-65/12 - 52/12 = (-65 - 52) / 12 = -117/12
Therefore, -6 7/12 - 4 1/3 is equal to -117/12.
thats wrong
thats the same answer idiot
To subtract the given numbers, we can start by converting the mixed numbers to improper fractions.
-6 7/12 can be written as -6 + 7/12
-6 can be written as -6/1
-6 + 7/12 = -6/1 + 7/12
Next, we need to find a common denominator for the fractions. The common denominator for 1 and 12 is 12.
To make the denominators the same, we can multiply the numerator and denominator of 7/12 by 1, and the numerator and denominator of -6/1 by 12.
-6/1 + 7/12 becomes -6/1 * 12/12 + 7/12 * 1/1
Simplifying both fractions:
-6/1 * 12/12 = -72/12
7/12 * 1/1 = 7/12
Now we can subtract the fractions:
-72/12 + 7/12 = -65/12
So, -6 7/12 - 4 1/3 is equal to -65/12.
To solve this expression (-6 7/12) - (4 1/3), you can convert the mixed numbers into improper fractions and then subtract the fractions.
Step 1: Convert the mixed numbers into improper fractions.
- For -6 7/12:
Multiply the whole number (-6) by the denominator of the fraction (12) and add the numerator (7).
(-6 × 12) + 7 = -72 + 7 = -65
The improper fraction is -65/12.
- For 4 1/3:
Multiply the whole number (4) by the denominator of the fraction (3) and add the numerator (1).
(4 × 3) + 1 = 12 + 1 = 13
The improper fraction is 13/3.
Step 2: Subtract the fractions.
(-65/12) - (13/3)
To subtract these fractions with different denominators, we need to find a common denominator.
Step 3: Find the common denominator.
The common denominator for 12 and 3 is 12.
Step 4: Rewrite the fractions with a common denominator.
(-65/12) becomes (-65/12)
(13/3) becomes (52/12) by multiplying the numerator and denominator by 4.
Step 5: Subtract the fractions.
(-65/12) - (52/12) = -117/12
So, -6 7/12 - 4 1/3 is equal to -117/12.
I apologize for the mistake. Let's try again:
To subtract mixed numbers, we need to convert them to improper fractions first.
-6 7/12 can be converted to an improper fraction as follows:
-6 7/12 = (-6 * 12 + 7) / 12 = (-72 + 7) / 12 = -65/12
Similarly, 4 1/3 can be converted to an improper fraction as follows:
4 1/3 = (4 * 3 + 1) / 3 = (12 + 1) / 3 = 13/3
Now we can subtract the improper fractions:
-65/12 - 13/3
To find a common denominator, we can multiply the denominators together: 12 * 3 = 36.
Multiplying the numerator and denominator of -65/12 by 3 gives us:
(-65 * 3) / (12 * 3) = -195/36
Multiplying the numerator and denominator of 13/3 by 12 gives us:
(13 * 12) / (3 * 12) = 156/36
Now that both fractions have the same denominator, we can subtract them:
-195/36 - 156/36 = (-195 - 156) / 36 = -351/36
We can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 3:
-351/36 = (-351 ÷ 3) / (36 ÷ 3) = -117/12
Therefore, the correct answer is -117/12.
I apologize if my previous response was not helpful.
Let's subtract the mixed numbers again:
-6 7/12 - 4 1/3
First, let's convert the mixed numbers to improper fractions:
-6 7/12 = (-6 * 12 + 7) / 12 = (-72 + 7) / 12 = -65/12
4 1/3 = (4 * 3 + 1) / 3 = (12 + 1) / 3 = 13/3
Now, we get a common denominator, which is 12:
-65/12 - 13/3
To convert 13/3 to have a denominator of 12, we need to multiply both the numerator and denominator by 4:
(13 * 4) / (3 * 4) = 52/12
Now, we can subtract the fractions:
-65/12 - 52/12 = (-65 - 52) / 12 = -117/12
Therefore, the correct answer is -117/12. I apologize for any confusion caused by my previous incorrect response.