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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

Ask by Wilson Huang. in the United States
Feb 26,2025

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Answer

The lowest common denominator is 64.

Solution

We need to find the lowest common denominator (LCD) for the fractions 6/16 and 12/64. The LCD is the least common multiple (LCM) of the denominators. The two denominators are 16 and 64. Notice that 64 is a multiple of 16 (since 16 × 4 = 64). Therefore, the LCM of 16 and 64 is 64. Thus, the lowest common denominator for 6/16 and 12/64 is 64.

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The Deep Dive

To find the lowest common denominator (LCD) for \(\frac{6}{16}\) and \(\frac{12}{64}\), we need to determine the least common multiple (LCM) of the denominators, which are 16 and 64. The multiples of 16 are 16, 32, 48, 64, and the multiples of 64 are 64, 128. The smallest common multiple is 64. Thus, the lowest common denominator for the two fractions is 64. Interestingly, in woodworking, precision is crucial. Understanding how to convert and simplify fractions can help ensure your measurements and cuts are accurate, leading to more successful projects! Speaking of excitement, the world of carpentry has many tools and methods that can enhance your measuring skills! Whether it's using a digital caliper for ultra-precise measurements or learning how to read a tape measure like a pro, every carpenter can benefit from mastering their measuring game!

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