What is -3 1/6+5 3/4
To solve this addition problem, we need to convert the mixed numbers into improper fractions so that we can add them.
-3 1/6 = (-18 + 1) / 6 = -17/6
5 3/4 = (20 + 3) / 4 = 23/4
Now, we can add them:
-17/6 + 23/4
To add fractions with different denominators, we need to find a common denominator. In this case, the least common multiple (LCM) of 6 and 4 is 12.
Multiply the numerator and denominator of the first fraction (-17/6) by 2 (since 2 * 6 = 12):
(-17/6) * (2/2) = -34/12
Multiply the numerator and denominator of the second fraction (23/4) by 3 (since 3 * 4 = 12):
(23/4) * (3/3) = 69/12
Now we can add the fractions:
-34/12 + 69/12 = (69 - 34) / 12 = 35/12
Therefore, -3 1/6 + 5 3/4 = 35/12 or 2 11/12 (mixed number form).
To solve the expression -3 1/6 + 5 3/4, follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
-3 1/6 = -(3*6 + 1)/6 = -19/6
5 3/4 = (5*4 + 3)/4 = 23/4
Step 2: Find a common denominator for the fractions, which in this case is 6 and 4. To do this, multiply the denominators together: 6 * 4 = 24.
Step 3: Rewrite the fractions with the common denominator.
-19/6 = -19/6 * 4/4 = -76/24
23/4 = 23/4 * 6/6 = 138/24
Step 4: Add the rewritten fractions together.
-76/24 + 138/24 = -76 + 138 / 24 = 62/24
Step 5: Simplify, if necessary. In this case, both the numerator and denominator are even numbers, so we can simplify by dividing both by their greatest common divisor, which is 2.
62/24 = (62/2) / (24/2) = 31/12
So, -3 1/6 + 5 3/4 equals 31/12.