-10 11/12-7 1/4=
What is the common denominator?
what a denominator im really not smart
To subtract mixed numbers, you need to convert them into improper fractions first.
For the first mixed number -10 11/12:
1. Multiply the whole number (-10) by the denominator of the fraction (12): -10 * 12 = -120.
2. Add the product to the numerator (11), giving you -120 + 11 = -109.
3. Write the sum over the original denominator: -109/12.
For the second mixed number -7 1/4:
1. Multiply the whole number (-7) by the denominator of the fraction (4): -7 * 4 = -28.
2. Add the product to the numerator (1), giving you -28 + 1 = -27.
3. Write the sum over the original denominator: -27/4.
Now, you can subtract the two improper fractions:
-109/12 - (-27/4)
To subtract fractions, you need to find a common denominator. In this case, the common denominator is 12 * 4 = 48.
Now, let's convert the fractions to have a common denominator:
-109/12 * 4/4 = -436/48
-27/4 * 12/12 = -324/48
Now, you can subtract the fractions:
-436/48 - (-324/48)
To subtract fractions, you subtract the numerators and keep the denominator the same:
(-436 - (-324))/48
Simplifying the numerator:
-436 - (-324) = -436 + 324 = -112
The final answer is -112/48.
In simplified form, -112/48 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 16:
-112/48 = -7/3
So, -10 11/12 - 7 1/4 = -7/3.