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To solve for the missing value in the equation \( \left(\frac{1}{3}\right) \cdot(\square)=1 \), you can simply isolate the square. To do this, multiply both sides of the equation by the reciprocal of \( \frac{1}{3} \), which is \( 3 \). This gives you \( \square = 1 \cdot 3 = 3 \). So, the value that fits into the square is \( 3 \)! For bonus points, did you know that fractions like \( \frac{1}{3} \) are used all the time in everyday life? From cooking recipes that require a third of a cup of sugar to sharing bills among friends at restaurants, understanding how to manipulate these fractions can turn you into a math whiz in practical situations! Also, when dealing with equations involving fractions, a common mistake is to forget to find the reciprocal when solving for an unknown variable. Always remember that to isolate a variable multiplied by a fraction, you’ll need to multiply by its reciprocal, ensuring you end up with the correct value every time. Keep practicing, and you'll breeze through these problems!
