Final answer:
The value of the expression 2/10 divided by 5/4 is calculated by multiplying the first fraction by the reciprocal of the second, resulting in 4/25 after simplifying.
Step-by-step explanation:
To calculate the value of the expression 2/10 divided by 5/4, you need to perform the division of two fractions. This is equivalent to multiplying the first fraction by the reciprocal of the second fraction. Here is how to do it step by step:
Write down the problem: (2/10) ÷ (5/4).
Find the reciprocal of the second fraction: The reciprocal of 5/4 is 4/5.
Multiply the first fraction by the reciprocal of the second fraction: (2/10) × (4/5).
Simplify the multiplication: 2 × 4 = 8 and 10 × 5 = 50, so the result is 8/50.
Reduce the result to the lowest terms if possible: 8/50 can be simplified by dividing both numerator and denominator by the common factor of 2, which gives 4/25.
Therefore, the value of the expression 2/10 divided by 5/4 is 4/25.