The world of mathematics can be fascinating, yet sometimes perplexing. One such mathematical operation that might seem straightforward but can be tricky to grasp is division, especially when it comes to simplifying fractions. In this article, we will delve into the specifics of 700 divided by 12 and provide a simplified explanation to make this concept crystal clear.
Understanding Division and Simplification
Division is one of the four basic arithmetic operations, which involves finding how many times one number (the divisor) fits into another number (the dividend). When we talk about 700 divided by 12, we are essentially looking for how many times 12 fits into 700. The result of this operation can be expressed as a decimal, fraction, or even a mixed number, depending on the context.
To simplify a fraction, we look for common factors between the numerator and the denominator and divide both by this common factor until no more common factors exist. This process makes the fraction easier to understand and work with.
Calculating 700 Divided by 12
Let's calculate 700 divided by 12. Performing the division: 700 ÷ 12 = 58.3333. This result is a repeating decimal, which can also be expressed as a fraction. To convert 58.3333 into a fraction, we note that 58.3333 is the same as 58 1/3 or, more precisely, 175/3.
| Operation | Result |
|---|---|
| 700 ÷ 12 | 58.3333 |
| Fractional Form | 175/3 |
Simplifying the Fraction
The fraction 175/3 is already in its simplest form. To verify, we find the greatest common divisor (GCD) of 175 and 3. The GCD of 175 and 3 is 1, meaning 175 and 3 have no common factors other than 1, and thus, 175/3 cannot be simplified further.
Practical Applications
Understanding how to divide numbers and simplify fractions has practical applications in various fields, including finance, engineering, and science. For instance, in finance, calculating interest rates or dividing assets equally among shareholders might involve such mathematical operations.
Key Points
- 700 divided by 12 equals 58.3333 or 175/3 in fractional form.
- The result can be expressed as a decimal, fraction, or mixed number.
- Simplifying fractions involves finding common factors between the numerator and denominator.
- The fraction 175/3 is in its simplest form.
- Mathematical operations like division and simplification have practical applications in various fields.
Conclusion
In conclusion, unlocking the mystery of 700 divided by 12 simplified involves understanding basic division, converting decimals to fractions, and simplifying those fractions. By grasping these concepts, one can apply them to a wide range of practical problems, making mathematics more accessible and useful.
What is 700 divided by 12?
+700 divided by 12 equals 58.3333 or 175⁄3 in fractional form.
How do you simplify a fraction?
+To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator and divide both by this GCD until no common factors exist.
What are the practical applications of division and fraction simplification?
+Division and fraction simplification have practical applications in finance, engineering, science, and everyday problem-solving, such as calculating interest rates, dividing assets, or understanding scientific measurements.
