-6 7/12 - 4 1/3
This is for subtract fractions and decimals practice
To subtract fractions and decimals, we need to find a common denominator.
Given the equation -6 7/12 - 4 1/3, let's first convert the mixed numbers to improper fractions.
-6 7/12 = -(6*12 + 7)/12 = -79/12
4 1/3 = (4*3 + 1)/3 = 13/3
Now, to find a common denominator, let's consider the lowest common multiple (LCM) of 3 and 12, which is 12. Therefore, we will rewrite the fractions using 12 as the denominator.
-79/12 - 13/3
To convert -13/3 to a fraction with a denominator of 12, we multiply the numerator and denominator by 4:
-79/12 - (13*4)/(3*4)
-79/12 - 52/12
Now that the fractions have a common denominator, we can subtract them:
-79/12 - 52/12 = (-79 - 52)/12 = -131/12
Therefore, -6 7/12 - 4 1/3 is equal to -131/12.
To subtract mixed numbers and decimals, follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
-6 can be written as -6/1 and 4 can be written as 4/1.
Convert the mixed numbers 7/12 and 1/3 into improper fractions as follows:
7/12 = (7 * 1)/12 = 7/12
1/3 = (1 * 1)/3 = 1/3
Now, the expression becomes: -6 7/12 - 4 1/3
= -6/1 - 7/12 - 4/1 - 1/3
Step 2: Find a common denominator for all the fractions.
The common denominator of 12 and 1 is 12.
So the expression becomes: -6/1 - (7/12)*(12/12) - 4/1 - (1/3)*(4/4)
= -6/1 - 84/12 - 4/1 - 4/3
Step 3: Simplify the fractions.
Combine the whole numbers with the fractions:
-6 - 84/12 - 4 - 4/3
= -6 - 7 - 4 - 4/3
= -17 - 4/3
Step 4: Simplify further if needed.
To subtract a whole number from a fraction, we need to convert the whole number into a fraction with the same denominator as the fraction. In this case, the fraction is 4/3.
-17 - (4/3)*(3/3)
= -17 - 12/3
= -17 - 4
Step 5: Perform the subtraction.
-17 - 4 = -21
The final answer is -21.