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Answer
The simplified expression is
Solution
Let’s simplify the expression m/6 + m/2 + m/4.
Step 1: Identify the least common denominator (LCD) of the fractions.
The denominators are 6, 2, and 4. The LCD is 12.
The denominators are 6, 2, and 4. The LCD is 12.
Step 2: Express each fraction with the denominator 12.
• m/6 = (2m)/12
• m/2 = (6m)/12
• m/4 = (3m)/12
• m/6 = (2m)/12
• m/2 = (6m)/12
• m/4 = (3m)/12
Step 3: Add the fractions.
(2m)/12 + (6m)/12 + (3m)/12 = (2m + 6m + 3m)/12 = (11m)/12
(2m)/12 + (6m)/12 + (3m)/12 = (2m + 6m + 3m)/12 = (11m)/12
Thus, the simplified expression is (11m)/12.
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Simplify this solution The Deep Dive
To simplify the expression
Now, we can rewrite each term:
Now, we can add them together:
So, the simplified expression is
But wait! That’s just the math part.
The real-world application of simplifying fractions like
It’s also vital to avoid common pitfalls! When adding fractions, one of the biggest mistakes is trying to add them without finding a common denominator. Always remember: like terms are best combined with a shared denominator, or your math will be as confused as a cat in a dog park!
