Question
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Answer
The answer is \( 1 \frac{1}{4} \).
Solution
To evaluate 4/1 - 2 3/4, follow these steps:
1. Recognize that 4/1 is just 4.
2. Write the mixed number 2 3/4 as an improper fraction. Since 2 3/4 equals (2 × 4 + 3)/4 = (8 + 3)/4 = 11/4.
3. Now subtract: 4 - 11/4. Write 4 as a fraction with denominator 4: 4 = 16/4.
4. Subtract the fractions: 16/4 - 11/4 = (16 - 11)/4 = 5/4.
5. Convert 5/4 back to a mixed number: 5/4 = 1 1/4.
Thus, the answer is 1 1/4.
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Simplify this solution Beyond the Answer
To solve the expression \( \frac{4}{1}-2 \frac{3}{4} \), first, convert all terms into like fractions. The first term \( \frac{4}{1} = 4 \) can be expressed as \( \frac{4}{1} = \frac{16}{4} \) to have a common denominator with the second term, \( 2 \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4} \). Thus, we have: \( \frac{16}{4} - \frac{11}{4} = \frac{16 - 11}{4} = \frac{5}{4} \). So, the final answer is \( \frac{5}{4} \) or \( 1 \frac{1}{4} \) if you prefer a mixed number. Enjoy this little brain teaser! It’s like a math puzzle that keeps your mind sharp. Remember that practicing simple operations with fractions can help you tackle more complex calculations with ease!
