Write \( 7 \frac{1}{3} \) as an improper fraction. (Do NOT reduce the fraction.) \( \square \) \( \square \)
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To convert the mixed number \( 7 \frac{1}{3} \) into an improper fraction, start by multiplying the whole number part (7) by the denominator of the fraction (3). So, \( 7 \times 3 = 21 \). Then, add the numerator of the fraction (1) to this product: \( 21 + 1 = 22 \). Finally, place this sum over the original denominator to get the improper fraction: \( \frac{22}{3} \). Next, did you know that improper fractions are commonly used in various fields, such as cooking and carpentry? When measurements are too large for mixed numbers, they switch to improper fractions for clarity—think of it as keeping things neat and tidy in the workshop or the kitchen! The ease of adding and subtracting fractions also makes improper fractions a favorite in math classes.