What is −6 7/12 − 4 1/3?(1 point)
To subtract mixed numbers, you need to first convert them into improper fractions.
The improper fraction equivalent of -6 7/12 is (-6 * 12 + 7) / 12 = (-72 + 7) / 12 = -65/12.
The improper fraction equivalent of -4 1/3 is (-4 * 3 + 1) / 3 = (-12 + 1) / 3 = -11/3.
Now we can subtract the two fractions:
-65/12 - 11/3 = (-65 * 3 - 11 * 12) / (12 * 3) = (-195 - 132) / 36 = -327/36.
However, the fraction -327/36 can be simplified further by dividing both the numerator and denominator by their greatest common divisor, which is 9.
(-327/9) / (36/9) = - 36 3/4.
Therefore, -6 7/12 - 4 1/3 = -36 3/4.
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The improper fraction equivalent of -6 7/12 is (-6 * 12 + 7) / 12 = (-72 + 7) / 12 = -65/12.
The improper fraction equivalent of -4 1/3 is (-4 * 3 + 1) / 3 = (-12 + 1) / 3 = -11/3.
Now we can subtract the two fractions:
-65/12 - 11/3 = (-65 * 3 - 11 * 12) / (12 * 3) = (-195 - 132) / 36 = -327/36.
To simplify the fraction -327/36, we can first divide both the numerator and denominator by their greatest common divisor, which is 3.
(-327/3) / (36/3) = -109/12.
Therefore, -6 7/12 - 4 1/3 = -109/12.
What is −6 7/12 − 4 1/3 as a fraction
To subtract mixed numbers, you need to find a common denominator.
The common denominator of 12 and 3 is 12.
Converting 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 = -11/3
Now subtract the fractions:
-65/12 - 11/3 = ((-65 * 3) - (11 * 12)) / (12 * 3) = (-195 - 132) / 36 = -327/36
The fraction -327/36 cannot be simplified any further.
Therefore, -6 7/12 - 4 1/3 as a fraction is -327/36.
To subtract mixed numbers, we need to find a common denominator. The common denominator for 12 and 3 is 12.
First, we need to convert the mixed numbers to improper fractions:
-6 7/12 = -78/12 + 7/12 = -71/12
-4 1/3 = -12/3 + 1/3 = -11/3
Now, we can subtract the fractions:
-71/12 - 11/3 = (-71*3)/(12*3) - (11*12)/(3*12)
= -213/36 - 132/36
= (-213 - 132)/36
= -345/36
The answer is -345/36, or simplified as -115/12.
To solve the expression −6 7/12 − 4 1/3, we need to perform subtraction of mixed numbers. Here's how you can do it step by step:
1. Convert the mixed numbers into improper fractions:
- −6 7/12 becomes - (6 * 12 + 7) / 12 = -79/12
- 4 1/3 becomes (4 * 3 + 1) / 3 = 13/3
2. Make sure that the fractions have a common denominator (in this case, it's 12):
- Multiply the numerator and denominator of -79/12 by 3 to get -237/36
- Multiply the numerator and denominator of 13/3 by 12 to get 52/3
3. Now that the fractions have the same denominator, we can subtract them:
- -237/36 - 52/3 = (-237 - 624)/36 = -861/36
4. Simplify the resulting fraction, if possible:
- Both -861 and 36 are divisible by 3, so we can simplify further by dividing both numerator and denominator by 3: -861/36 becomes -287/12
5. The final answer is -287/12.
So, the expression −6 7/12 − 4 1/3 is equal to -287/12.