49 divided by 16
Understand the Problem
The question is asking for the result of dividing 49 by 16, which involves calculating a fraction or representing it as a decimal.
Answer
$3.0625$
Answer for screen readers
The result of dividing 49 by 16 is $3.0625$.
Steps to Solve
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Setting up the division To find the result of dividing 49 by 16, we can write it as a fraction: $$ \frac{49}{16} $$
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Calculating the division Next, we can perform the division. 49 can be divided by 16. We do this to find how many times 16 fits into 49, which gives us a whole number and a remainder: $$ 49 \div 16 = 3 \text{ remainder } 1 $$ This means that 16 fits into 49 a total of 3 times, with a remainder of 1.
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Writing decimal form To express the division as a decimal, we can take the remainder and continue dividing. The full division can be expressed as: $$ 3 + \frac{1}{16} $$
Now, we convert the fraction $\frac{1}{16}$ into decimal form by calculating: $$ \frac{1}{16} = 0.0625 $$
Therefore, when combined: $$ 3 + 0.0625 = 3.0625 $$
- Final result So, the result of dividing 49 by 16 can be written in two forms: as a fraction $\frac{49}{16}$ or as a decimal $3.0625$.
The result of dividing 49 by 16 is $3.0625$.
More Information
The division of 49 by 16 can be expressed as both a fraction and a decimal. This division shows how to convert a fraction into a decimal by adding the whole number part to the decimal equivalent of the remainder. It's interesting to note that $ \frac{1}{16} $ is a commonly recognized decimal: $0.0625$.
Tips
- A common mistake is treating the decimal result as exact without recognizing the relation to remainders. Ensure to carefully account for both the whole number and the fractional parts.
- Confusing the representation of remainders when written in decimal form is another pitfall. Always make sure the fractional part is calculated correctly.
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