What is −6 7/12 − 4 1/3 ?(1 point)
To solve this, you need to first convert the mixed numbers to improper fractions.
-6 7/12 can be rewritten as -6 + 7/12. To convert it to an improper fraction, multiply the whole number (-6) by the denominator of the fraction (12) and add the numerator (7). Keep the same denominator.
-6 * 12 = -72
-72 + 7 = -65
Therefore, -6 7/12 is equal to -65/12.
-4 1/3 can be rewritten as -4 + 1/3. To convert it to an improper fraction, multiply the whole number (-4) by the denominator of the fraction (3) and add the numerator (1). Keep the same denominator.
-4 * 3 = -12
-12 + 1 = -11
Therefore, -4 1/3 is equal to -11/3.
Now that both mixed numbers have been converted to improper fractions, you can subtract them:
-65/12 - 11/3
To subtract fractions, find a common denominator. In this case, it is 12 because both fractions already share that denominator.
To convert 11/3 to have a denominator of 12, multiply both the numerator and denominator by 4:
11/3 * 4/4 = 44/12
Now the subtraction becomes:
-65/12 - 44/12
To subtract, simply subtract the numerators while keeping the denominator the same:
(-65 - 44)/12 = -109/12
Therefore, −6 7/12 − 4 1/3 is equal to -109/12 or -9 1/12.
you sure
Apologies for the mistake in my previous response. Let's correct it:
To solve −6 7/12 − 4 1/3, we need to first convert the mixed numbers to improper fractions.
-6 7/12 can be converted to an improper fraction by multiplying the whole number (-6) by the denominator (12) and adding the numerator (7). The denominator remains the same.
-6 * 12 = -72
-72 + 7 = -65
Therefore, -6 7/12 is equivalent to -65/12.
Similarly, -4 1/3 can be converted to an improper fraction by multiplying the whole number (-4) by the denominator (3) and adding the numerator (1). The denominator stays the same.
-4 * 3 = -12
-12 + 1 = -11
So, -4 1/3 is equal to -11/3.
Now we can subtract the fractions:
-65/12 - 11/3
To simplify, we need to find a common denominator. In this case, the least common multiple of 12 and 3 is 12.
Converting -11/3 to have a denominator of 12:
-11/3 * 4/4 = -44/12
The subtraction then becomes (-65/12) - (-44/12):
-65/12 + 44/12 = -21/12
Now we need to simplify the fraction. The greatest common divisor of 21 and 12 is 3, so we can divide both the numerator and denominator by 3:
-21/12 ÷ 3/3 = -7/4
Therefore, −6 7/12 − 4 1/3 is equal to -7/4.
To subtract mixed numbers, you need to first convert them into improper fractions.
Converting −6 7/12 into an improper fraction:
-6 7/12 = (-6 * 12 + 7) / 12 = (-72 + 7) / 12 = -65/12
Converting 4 1/3 into an improper fraction:
4 1/3 = (4 * 3 + 1) / 3 = (12 + 1) / 3 = 13/3
Now, subtract the two improper fractions:
-65/12 - 13/3
To subtract fractions, you need to make sure they have the same denominator. In this case, we need to find a common denominator for 12 and 3, which is 12.
Multiply the numerator and denominator of -13/3 by 4 to obtain a denominator of 12:
-65/12 - (13/3 * 4/4) = -65/12 - 52/12
Now, subtract the numerators and keep the denominator:
-65/12 - 52/12 = (-65 - 52) / 12 = -117/12
Simplify the fraction if possible. Both -117 and 12 are divisible by 3:
-117/12 = (-39 * 3) / (4 * 3) = -39/4
Therefore, −6 7/12 - 4 1/3 is equal to -39/4.
To subtract mixed numbers, we need to convert them to improper fractions first.
- Convert -6 7/12 to an improper fraction:
- Multiply the whole number (-6) by the denominator (12): -6 x 12 = -72
- Add the result of the multiplication (-72) to the numerator (7): -72 + 7 = -65
- Keep the denominator the same (12)
- Therefore, -6 7/12 can be written as -65/12 as an improper fraction.
- Convert -4 1/3 to an improper fraction:
- Multiply the whole number (-4) by the denominator (3): -4 x 3 = -12
- Add the result of the multiplication (-12) to the numerator (1): -12 + 1 = -11
- Keep the denominator the same (3)
- Therefore, -4 1/3 can be written as -11/3 as an improper fraction.
Now that we have the improper fractions, we can subtract them:
- Subtract the two fractions:
- (-65/12) - (-11/3)
- To subtract fractions, we need a common denominator, which is the least common multiple (LCM) of 12 and 3. In this case, the LCM is 12.
- Convert the fractions to have a denominator of 12:
- (-65/12) = (-65/12) x (1/1) = (-65/12) x (4/4) = -260/48
- (-11/3) = (-11/3) x (4/4) = -44/12
- Now that both fractions have a common denominator of 12, we can subtract them:
- (-260/48) - (-44/12)
- Subtract the numerators: -260 - (-44) = -260 + 44 = -216
- The denominator remains the same: 48
- Therefore, -260/48 - (-44/12) = -216/48
Finally, we can simplify the resulting fraction:
- Simplify the fraction, if possible:
- To simplify a fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
- In this case, the GCD of 216 and 48 is 12.
- Divide the numerator and the denominator by 12: -216/12 = -18, 48/12 = 4
- Therefore, -216/48 simplifies to -18/4, which can be further simplified as -9/2.
So, the answer to −6 7/12 − 4 1/3 is -9/2 or -4 1/2.