Hello ai add -3 1/6 + 5 3/4. Write your answer as a reduced mixed number
To add -3 1/6 and 5 3/4, we need to convert the mixed numbers to improper fractions and then add them together.
-3 1/6 = -19/6
5 3/4 = 23/4
Adding these fractions:
-19/6 + 23/4
To add fractions, we need to find a common denominator. The common denominator in this case will be 12.
Multiplying the first fraction by 2/2 and the second fraction by 3/3 (both equivalent to 1) to get the common denominator:
(-19/6) * (2/2) = -38/12
(23/4) * (3/3) = 69/12
Now, we can add these fractions:
-38/12 + 69/12 = 31/12
Now, let's write this fraction as a reduced mixed number.
To convert 31/12 to a mixed number, we perform long division:
31 ÷ 12 = 2 with a remainder of 7.
So, the mixed number is 2 7/12.
Add 13.92 + (-22.111)
To add 13.92 and -22.111, we simply add the two numbers together:
13.92 + (-22.111) = -8.191
Therefore, the sum is -8.191.
Add -5.11+ ( 1.56 )
To add -5.11 and 1.56, we simply add the two numbers together:
-5.11 + 1.56 = -3.55
Therefore, the sum is -3.55.
Add a -5.11 +( -1.56 )
To add a -5.11 and -1.56, we simply add the two numbers together:
-5.11 + (-1.56) = -6.67
Therefore, the sum is -6.67.
Add -8/15 + 4/15
To add -8/15 and 4/15, we sum the numerators while keeping the common denominator:
-8/15 + 4/15 = (-8 + 4)/15 = -4/15
Therefore, the sum is -4/15.
To add the given mixed numbers, -3 1/6 and 5 3/4, we need to first convert them into improper fractions. Here's how you can do it:
Step 1: Convert the mixed numbers to improper fractions
To convert -3 1/6 to an improper fraction, we multiply the whole number (-3) by the denominator of the fraction (6) and add the numerator (1). The result becomes the new numerator, while the denominator remains the same.
-3 1/6 = (-3 * 6 + 1)/6 = (-18 + 1)/6 = -17/6
Similarly, let's convert 5 3/4 to an improper fraction:
5 3/4 = (5 * 4 + 3)/4 = (20 + 3)/4 = 23/4
Step 2: Find a common denominator
To add or subtract fractions, you need to have a common denominator. In this case, the least common multiple of 6 and 4 is 12. So we'll convert both fractions to have a denominator of 12.
Step 3: Convert both fractions to have the same denominator
Now let's convert -17/6 and 23/4 to fractions with a denominator of 12:
-17/6 = -17/6 * 2/2 = -34/12
23/4 = 23/4 * 3/3 = 69/12
Now we have:
-34/12 + 69/12
Step 4: Add the fractions
To add the fractions together, we simply add their numerators while keeping the denominator the same:
-34/12 + 69/12 = (-34 + 69)/12 = 35/12
Step 5: Simplify the fraction
To express the answer as a reduced mixed number, we divide the numerator (35) by the denominator (12). The quotient becomes the whole number, and the remainder becomes the numerator of the proper fraction. Let's do the division:
35 ÷ 12 = 2 remainder 11
Therefore, the reduced mixed number form of the answer is:
2 11/12