Evaluating the Expression: 1/5 × 3/8 × (-5) as a Fraction
In this article, we will evaluate the expression 1/5 × 3/8 × (-5)
and express it as a fraction.
Step 1: Multiply the Numerators
To start, we need to multiply the numerators (the numbers on top) of each fraction:
1 × 3 × (-5) = -15
Step 2: Multiply the Denominators
Next, we need to multiply the denominators (the numbers on the bottom) of each fraction:
5 × 8 = 40
Step 3: Write the Result as a Fraction
Now, we can write the result as a fraction by dividing the numerator by the denominator:
-15 ÷ 40 = -15/40
Simplifying the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 5:
-15 ÷ 5 = -3
40 ÷ 5 = 8
So, the simplified fraction is:
-3/8
Conclusion
The expression 1/5 × 3/8 × (-5)
evaluates to -3/8
as a fraction.