What is -6 7/12 - 4 1/3
To subtract mixed fractions, follow these steps:
1. Convert the mixed fractions to improper fractions.
- The mixed fraction -6 7/12 can be converted to the improper fraction -79/12.
- Multiply the whole number (-6) by the denominator (12): -6 * 12 = -72.
- Add the numerator (7) to the result: -72 + 7 = -65.
- Keep the denominator the same: 12.
- The mixed fraction 4 1/3 can be converted to the improper fraction 13/3.
- Multiply the whole number (4) by the denominator (3): 4 * 3 = 12.
- Add the numerator (1) to the result: 12 + 1 = 13.
- Keep the denominator the same: 3.
Now, the expression becomes: -79/12 - 13/3
2. Find a common denominator for both fractions.
- The least common multiple of 12 and 3 is 12.
- Multiply the numerator and denominator of the first fraction (-79/12) by 1 to maintain its value.
Now, the expression becomes: -79/12 - 52/12
3. Subtract the numerators and keep the denominator unchanged.
- (-79/12) - (52/12) = -131/12
Therefore, -6 7/12 - 4 1/3 is equal to -131/12.
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To subtract -6 7/12 from 4 1/3, we need to find a common denominator for the fractions before performing the subtraction.
First, let's convert the mixed numbers into 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 can subtract -65/12 from 13/3 by finding a common denominator of 12:
Multiply the numerator and denominator of 13/3 by 4 to get 52/12.
Therefore, the subtraction becomes:
52/12 - 65/12 = (52 - 65) / 12 = -13/12
So, -6 7/12 - 4 1/3 = -13/12.
To find the result of the expression -6 7/12 - 4 1/3, we need to subtract the second number from the first number. Let's convert both of these mixed numbers into improper fractions first.
-6 7/12 can be written as follows:
Multiply the whole number (-6) by the denominator (12) and add the numerator (7). Place this sum over the denominator to get -79/12.
Similarly, 4 1/3 can be rewritten as follows:
Multiply the whole number (4) by the denominator (3) and add the numerator (1). Place this sum over the denominator to get 13/3.
Now, we can subtract the two fractions:
-79/12 - 13/3
To subtract these fractions, they need to have a common denominator. The least common multiple (LCM) of 12 and 3 is 12. We can convert the fractions to have a common denominator of 12:
(-79/12) - (13/3) = (-79/12) - (52/12)
Now, we can subtract the numerators and keep the common denominator:
= (-79 - 52) / 12
= -131/12
Therefore, the result of the expression -6 7/12 - 4 1/3 is -131/12.