-11 1/8+ 15 5/12=??
a:4 7/24**
b:4 7/12
c:-4 1/3*
d:-4 7/24
Which is your answer?
Also -- please show your work so that I know you didn't copy from the previous post.
To solve this addition problem involving mixed numbers, you need to convert the mixed numbers into improper fractions and then add them together.
Let's start by converting -11 1/8 into an improper fraction:
Step 1: Multiply the whole number (-11) by the denominator of the fraction (8): -11 * 8 = -88
Step 2: Add the product to the numerator: -88 + 1 = -87
Step 3: Write the result from Step 2 over the original denominator: -87/8
Now let's convert 15 5/12 into an improper fraction:
Step 1: Multiply the whole number (15) by the denominator of the fraction (12): 15 * 12 = 180
Step 2: Add the product to the numerator: 180 + 5 = 185
Step 3: Write the result from Step 2 over the original denominator: 185/12
Now that we have both fractions as improper fractions, we can add them together:
-87/8 + 185/12
To add fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 24 because it is divisible by both 8 and 12.
Converting -87/8 to have a denominator of 24:
Step 1: Multiply the denominator (8) by 3: 8 * 3 = 24
Step 2: Multiply the numerator (-87) by 3: -87 * 3 = -261
Step 3: Write the result from Step 2 over the new denominator: -261/24
Converting 185/12 to have a denominator of 24:
Step 1: Multiply the denominator (12) by 2: 12 * 2 = 24
Step 2: Multiply the numerator (185) by 2: 185 * 2 = 370
Step 3: Write the result from Step 2 over the new denominator: 370/24
Now that both fractions have a denominator of 24, we can add them together:
-261/24 + 370/24 = 109/24
To convert the improper fraction 109/24 back into a mixed number, divide the numerator (109) by the denominator (24):
24 does not completely divide into 109, which means the quotient is a mixed number.
The whole number part of the mixed number is obtained by dividing the numerator by the denominator: 109 รท 24 = 4 (quotient)
To find the fraction part of the mixed number, take the remainder (109 - (4 * 24)) and write it over the original denominator: 109 - (4 * 24) = 109 - 96 = 13.
Therefore, the final answer is 4 13/24, which corresponds to option a: 4 7/24.