Frame carpenters typically work with measurements as small as \( \frac{1}{16} \) inch. Trim carpenters and cabinetmakers may work with measurements as small as \( \frac{1}{64} \) inch. Find the lowest common denominator for the fractions \( \frac{6}{16} \) and \( \frac{12}{64} \). Your answer should be a whole number, representing the lowest common The lowest common denominator for the two fractions is
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The Deep Dive
To find the lowest common denominator (LCD) of \( \frac{6}{16} \) and \( \frac{12}{64} \), we start by determining the denominators: 16 and 64. The multiples of 16 are 16, 32, 48, 64, and so on. The multiples of 64 are 64, 128, and so forth. The smallest common multiple of both numbers is 64. Thus, the lowest common denominator for the two fractions is **64**. Now that we have the LCD, it’s vital to remember that converting fractions to a common denominator can help you easily add or compare them. So, if you need to work with these fractions in future calculations, knowing how to find the LCD will save you time and potential miscalculations!
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