Division of Fractions: 2/5 ÷ 25
When we encounter a problem like 2/5 divided by 25, we need to apply the rules of division of fractions. In this article, we will break down the step-by-step process to solve this problem.
Understanding the Problem
The problem 2/5 divided by 25 can be written as:
2/5 ÷ 25
To solve this problem, we need to understand that dividing a fraction by a whole number is equivalent to multiplying the fraction by the reciprocal of the whole number.
Step-by-Step Solution
- Write the reciprocal of 25: The reciprocal of 25 is 1/25.
- Multiply the fraction by the reciprocal: Multiply 2/5 by 1/25.
2/5 × 1/25 = ?
- Multiply the numerators and denominators: Multiply the numerators (numbers on top) and denominators (numbers on the bottom) separately.
(2 × 1) / (5 × 25) = ?
(2) / (125) = ?
- Simplify the fraction: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
2 ÷ 1 = 2 125 ÷ 1 = 125
The simplified fraction is:
2/125
Therefore, the result of 2/5 divided by 25 is 2/125.
Conclusion
In conclusion, to divide a fraction by a whole number, we need to multiply the fraction by the reciprocal of the whole number. By following the step-by-step process, we can easily solve problems like 2/5 divided by 25.
