Question
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Tutor-Verified Answer
Answer
\( \frac{1}{12} \)
Solution
1. Identify the fractions: \( \frac{3}{4} \) and \( \frac{2}{3} \).
2. Find the least common denominator (LCD) of 4 and 3.
The LCD is \( 12 \).
3. Convert each fraction to an equivalent fraction with a denominator of 12:
\[
\frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}
\]
\[
\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}
\]
4. Subtract the fractions:
\[
\frac{9}{12} - \frac{8}{12} = \frac{9 - 8}{12} = \frac{1}{12}
\]
5. The answer is \( \frac{1}{12} \).
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Simplify this solution Mind Expander
To solve \( \frac{3}{4}-\frac{2}{3} \), start by finding a common denominator. The least common multiple of 4 and 3 is 12. Rewriting both fractions with a denominator of 12 gives us \( \frac{9}{12} - \frac{8}{12} = \frac{1}{12} \). Now you've got \( \frac{1}{12} \) as your answer! Simple, right? Just remember, finding a common denominator simplifies your arithmetic! And don't forget, fractions are everywhere—cooking recipes, splitting bills, or even planning your pie chart! Being adept with them can really spice up your day-to-day problem-solving skills.
