simplify and write answer as a mixed number
13 1/48 - 2 1/2 + 3 1/3
You have to try this yourself. It is the only way you will learn.
I've already done at least one of these problems for you.
First, find the LCD for each .
Post your work if you get stuck.
13 1/48- 2 1/12+ 3 1/3
=13 1/48 - 2 1/48
=13 1/48 - 2 4/48
=12 49/48 - 2 4/48
=10 45/48
10 45/48 +3 1/3
10 45/48 + 3 16/48
=13 61/48
To simplify the given expression and write the answer as a mixed number, we will follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
Start by converting the mixed numbers to improper fractions. To do this, multiply the whole number by the denominator of the fraction and add the numerator. Write the result over the original denominator.
13 1/48 = (13 * 48 + 1) / 48 = 625/48
2 1/2 = (2 * 2 + 1) / 2 = 5/2
3 1/3 = (3 * 3 + 1) / 3 = 10/3
Step 2: Perform the arithmetic operation.
Subtract, multiply, or divide the fractions as required while considering the common denominator.
625/48 - 5/2 + 10/3
To add or subtract fractions, they need to have a common denominator. In this case, the least common denominator (LCD) is 48 * 2 * 3 = 288.
Rewrite the fractions with the new denominator:
625/48 - (5/2 * 144/144) + (10/3 * 96/96)
625/48 - 720/288 + 960/288
Step 3: Simplify and convert to a mixed number.
Combine the fractions, and simplify if possible.
625/48 - 720/288 + 960/288
= (625 - 720 + 960) / 288
= 865/288
Now, we can write the answer as a mixed number by dividing the numerator by the denominator:
865 ÷ 288 = 3 remainder 41
The mixed number is 3 41/288.