Subtract fractions and decimals practice. What is -6 7/12 -4 1/3.
To subtract -6 7/12 and -4 1/3, we need to find a common denominator for the fractions.
The common denominator for 12 and 3 is 12, so we need to convert both fractions to have a denominator of 12.
-6 7/12 can be written as -6 7/12 = -6 x 12/12 + 7/12 = -72/12 + 7/12 = -65/12
-4 1/3 can be written as -4 1/3 = -4 x 3/3 + 1/3 = -12/3 + 1/3 = -11/3
Now we can subtract the fractions:
-65/12 - 11/3
To subtract fractions, we need to have a common denominator. The common denominator for 12 and 3 is 12, so we need to convert -11/3 to have a denominator of 12.
-11/3 can be written as -11 x 4/3 x 4 = -44/12
Now we can subtract the fractions:
-65/12 - 44/12 = (-65 - 44)/12 = -109/12
Therefore, -6 7/12 - 4 1/3 is equal to -109/12.
To subtract mixed fractions like -6 7/12 and -4 1/3, follow these steps:
Step 1: Convert the mixed fractions into improper fractions.
-6 7/12 becomes -(6 * 12 + 7)/12 = -79/12
-4 1/3 becomes -(4 * 3 + 1)/3 = -13/3
Step 2: Find a common denominator for the fractions, which in this case is 12.
Step 3: Subtract the fractions.
-79/12 - (-13/3)
To subtract fractions, we first need to make the denominators the same. Multiply the numerator and denominator of the first fraction by 3, and multiply the numerator and denominator of the second fraction by 4, to get a common denominator of 12.
(-79 * 3)/(12 * 3) - (-13 * 4)/(3 * 4)
= -237/36 + 52/12
Step 4: Combine the fractions.
To combine these fractions, we need to make the denominators the same. Multiply the numerator and denominator of the first fraction by 3, and multiply the numerator and denominator of the second fraction by 3, to get a common denominator of 12.
(-237 * 3)/(36 * 3) + (52 * 3)/(12 * 3)
= -711/108 + 156/36
Step 5: Simplify the fractions.
To simplify these fractions, find a common factor for the numerators and the denominators.
-711/108 + 156/36
=-79/12 + 13/3
Step 6: Find a common denominator for the fractions, which in this case is 12.
-79/12 + 13/3
To make the denominators the same, multiply the numerator and denominator of the first fraction by 3, and multiply the numerator and denominator of the second fraction by 4.
(-79 * 3)/(12 * 3) + (13 * 4)/(3 * 4)
= -237/36 + 52/12
Step 7: Combine the fractions.
To combine these fractions, we need to make the denominators the same. Multiply the numerator and denominator of the first fraction by 3, and multiply the numerator and denominator of the second fraction by 3.
(-237 * 3)/(36 * 3) + (52 * 3)/(12 * 3)
= -711/108 + 156/36
Step 8: Simplify the fractions.
To simplify these fractions, find a common factor for the numerators and the denominators.
-711/108 + 156/36
= -237/36 + 52/12
So, -6 7/12 - 4 1/3 = -237/36 + 52/12.