Convert \( 10 \frac{1}{7} \) to an improper fraction.
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To convert the mixed number \( 10 \frac{1}{7} \) into an improper fraction, first, multiply the whole number (10) by the denominator (7). This gives you \( 10 \times 7 = 70 \). Then, add the numerator (1) to that result: \( 70 + 1 = 71 \). So, \( 10 \frac{1}{7} \) equals \( \frac{71}{7} \). Here’s a fun fact: Improper fractions are just fractions where the numerator is larger than the denominator, and they can help simplify complex calculations. Don’t be afraid to mix and match numbers in this way—you gain a whole new perspective on fractions! If you find yourself converting mixed numbers often, consider using a number line to visualize the process. Place the whole numbers and fractions on a line; it can help you see how improper fractions fit in! Plus, it keeps the math flowing smoothly without classic missteps of forgetting to multiply or add correctly.
