1 3 13 is a mathematical expression that represents the division of the whole number 1 by the fraction 3/13. To understand how this expression works, let's break it down step by step:
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Convert the whole number to a fraction: Since any number can be represented as a fraction by using 1 as the denominator, we can rewrite 1 as 1/1. This means that 1 3/13 is equivalent to (1/1) / (3/13).
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multiply the numerator of the first fraction by the denominator of the second fraction: When we multiply the numerator of the first fraction (1/1) by the denominator of the second fraction (3/13), we get 1 * 3 = 3. This new fraction is 3/13.
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Now we have two fractions: Our original fraction (1/1) / (3/13) is now represented as both 3/13. Since the numerators are the same, we can simply compare the denominators. In this case, the denominator of the first fraction (1/1) is 1, and the denominator of the second fraction (3/13) is 13.
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Find the Least Common Denominator (LCD): Since the denominators of both fractions are 1 and 13, respectively, their least common denominator (LCD) is 13. To convert the first fraction to have the same denominator, we multiply the numerator and denominator by 13: (1/1) * (13/13) = 13/13.
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Simplify the resulting fraction: Now that both fractions have the same denominator, we can simply compare the numerators. The numerator of the first fraction (13/13) is 13, and the numerator of the second fraction (3/13) is 3. Since 13 is greater than 3, the simplified fraction is 13/3.
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At its core, 1 3 13 represents the division of the whole number 1 by the fraction 3/13. This conversion is necessary to understand the expression's significance in mathematics and its application in real-world scenarios. By breaking down the process into simple steps and utilizing basic math principles, we can arrive at the simplified fraction 13/3, which is equal to 4.3333333333333 when expressed as a decimal.
