7. Which of these fractions is NOT equivalent to the others? \( \frac{9}{12} \) \( \frac{27}{36} \) \( \frac{3}{4} \)\( \frac{24}{32} \quad \frac{12}{15} \)
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To find the fraction that is NOT equivalent, we can simplify each fraction. The fractions \( \frac{9}{12}, \frac{27}{36}, \frac{3}{4}, \) and \( \frac{24}{32} \) all simplify to \( \frac{3}{4} \). However, \( \frac{12}{15} \) simplifies to \( \frac{4}{5} \), which is different. So, the fraction that is NOT equivalent to the others is \( \frac{12}{15} \). Now, let’s have a little fun with some fraction history! Did you know that fractions have been used since ancient times? The Egyptians had their own unique system of fractions as early as 2000 BCE, primarily using unit fractions (fractions with 1 as the numerator). They even had a special symbol for fractions that we still marvel at today! For those keen on sharpening their fraction skills, practicing with visual aids like pie charts or fraction strips can work wonders! Many learners often mistake the simplification process by only dividing the numerator or denominator without looking at the whole fraction. Remember, both parts must be treated equally for accurate simplification!