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How can you estimate 3/16 as a decimal? Explain your reasoning.

User Jony Kale
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Final answer:

To estimate 3/16 as a decimal, you can use known fractions like 1/4, which is 0.25, and deduce that 1/16 is 0.0625. Multiplying 0.0625 by 3 gives an estimate of 0.1875 for 3/16.

Step-by-step explanation:

Estimating the decimal equivalent of a fraction like 3/16 can be done by understanding fractions with denominators that are easier to work with or by comparing them to known decimal values. For example, we know that 1/2 is equal to 0.5 and 1/4 is equal to 0.25. From this knowledge, we can deduce that 1/8 would be half of 1/4, which is 0.125. Knowing that 3/16 is twice 1/16, and that 1/16 is half of 1/8, we can calculate that 1/16 is roughly 0.0625. Therefore, 3/16 would be three times 0.0625, which gives us an estimate of approximately 0.1875 as the decimal representation.

User Eric Brandwein
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