To evaluate the expression 2/5 × 1/4 ÷ 1, we can break it down into manageable steps.
1. **Understanding the Expression**: The expression consists of a multiplication of two fractions followed by division by 1. Division by 1 does not change the value, so we can focus on the multiplication first.
2. **Multiply the Fractions**: To multiply two fractions, you multiply the numerators together and the denominators together.
Step 1:
- Numerator: 2 × 1 = 2
- Denominator: 5 × 4 = 20
So, 2/5 × 1/4 = 2/20
3. **Simplifying the Result**: The fraction 2/20 can be simplified:
- Find the greatest common divisor (GCD) of 2 and 20, which is 2.
- Divide both the numerator and denominator by 2:
- 2 ÷ 2 = 1
- 20 ÷ 2 = 10
Thus, 2/20 simplifies to 1/10.
4. **Final Step - Division by 1**: Since we are dividing by 1 after multiplication, it will not change the value:
1/10 ÷ 1 = 1/10.
In conclusion, the result of the expression 2/5 × 1/4 ÷ 1 is 1/10.