Simplifying the decimal 0.0115 into a fraction can be done in just one easy step:
Step 1: Divide by the Smallest Power of 10
To simplify the decimal 0.0115, we need to find the smallest power of 10 that can be divided into the decimal. In this case, the smallest power of 10 is 10^3 (or 1000).
By dividing 0.0115 by 1000, we can convert it into a fraction:
0.0115 = 115/10000
Further Simplification
We can further simplify the fraction 115/10000 by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 115 and 10000 is 5.
By dividing both the numerator and denominator by 5, we can simplify the fraction:
115/10000 = 23/2000
Result
The simplified fraction of the decimal 0.0115 is 23/2000.
That's it! In just one easy step, we simplified the decimal 0.0115 into a fraction.
Benefits of Simplifying Decimals
Simplifying decimals into fractions can be beneficial in various mathematical operations, such as:
- Adding and subtracting fractions
- Multiplying and dividing fractions
- Converting fractions to percentages
- Finding equivalent ratios
By simplifying decimals, we can make mathematical calculations more efficient and accurate.
Real-World Applications
Simplifying decimals has real-world applications in various fields, such as:
- Finance: converting interest rates and investment returns
- Science: measuring quantities and calculating ratios
- Engineering: designing and optimizing systems
- Cooking: scaling recipes and converting between units
By simplifying decimals, we can make informed decisions and solve problems in our daily lives.
Conclusion
In conclusion, simplifying decimals into fractions can be a simple yet powerful tool in mathematics. By dividing the decimal by the smallest power of 10, we can convert it into a fraction and further simplify it by finding the greatest common divisor. The simplified fraction can then be used in various mathematical operations and real-world applications.
We hope this article has helped you simplify the decimal 0.0115 in just one easy step!
What is the smallest power of 10 that can be divided into 0.0115?
+The smallest power of 10 is 10^3 (or 1000).
How can we further simplify the fraction 115/10000?
+We can find the greatest common divisor (GCD) of the numerator and denominator, which is 5, and divide both by 5.
What are some real-world applications of simplifying decimals?
+Simplifying decimals has applications in finance, science, engineering, and cooking.