What is 50 divided by 6.
The Correct Answer and Explanation is :
50 divided by 6 equals approximately 8.3333, or in fraction form, it can be represented as ( \frac{25}{3} ).
Explanation:
When performing division, you are essentially determining how many times one number (the divisor) fits into another number (the dividend). In this case, we are dividing 50 (the dividend) by 6 (the divisor).
To start, we can perform long division:
- Determine how many times 6 fits into 50:
- 6 goes into 50 eight times since ( 6 \times 8 = 48 ).
- If we were to try 9, ( 6 \times 9 = 54 ), which is greater than 50, so we stop at 8.
- Calculate the remainder:
- After multiplying 8 by 6, we get 48.
- Subtracting this from 50 gives us a remainder of 2 (i.e., ( 50 – 48 = 2 )).
- Express the remainder:
- We can now express our answer as a mixed number. The whole number part is 8, and the remainder can be expressed as a fraction of the divisor: ( \frac{2}{6} ).
- Simplifying ( \frac{2}{6} ) gives us ( \frac{1}{3} ).
- Therefore, the result can be written as ( 8 \frac{1}{3} ).
- Convert to decimal:
- To express this in decimal form, we can convert ( \frac{1}{3} ) to a decimal, which is approximately 0.3333.
- Adding this to 8 gives us approximately 8.3333.
In summary, 50 divided by 6 is 8 with a remainder of 2, or approximately 8.3333 when expressed as a decimal. This method highlights the division process and how to interpret the quotient and remainder, showing the relationship between whole numbers and fractions.