35/4 as a decimal
Understand the Problem
The question is asking us to convert the fraction 35/4 into its decimal form. We will perform the division to find the decimal equivalent.
Answer
8.75
Answer for screen readers
The decimal equivalent of the fraction $\frac{35}{4}$ is 8.75.
Steps to Solve
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Setup the Division We want to convert the fraction $\frac{35}{4}$ into its decimal form, which involves dividing 35 by 4.
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Perform the Division Divide 35 by 4 using long division.
- 4 goes into 35, 8 times because $4 \times 8 = 32$.
- Subtract 32 from 35 to get a remainder of 3.
- Continue the Long Division Since we have a remainder, we can add a decimal point and a zero to the remainder, making it 30.
- Now, divide: 4 goes into 30, 7 times because $4 \times 7 = 28$.
- Subtract 28 from 30 to get a new remainder of 2.
- Add Another Decimal Zero Now, we write another 0 after the decimal point, making it 20.
- Divide: 4 goes into 20, 5 times because $4 \times 5 = 20$.
- Subtract 20 from 20 to get a final remainder of 0.
- Conclusion Since there are no more remainders, we can conclude our long division.
The decimal equivalent of the fraction $\frac{35}{4}$ is 8.75.
More Information
The division process illustrated that fractions can be easily converted to decimals through long division. In this case, $\frac{35}{4}$ converts neatly into 8.75 without any repeating decimals or additional complexities.
Tips
- A common mistake is miscalculating the long division steps or forgetting to add zeros after the decimal to continue the division. To avoid this, keep careful track of your steps, especially with remainders.
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