Evaluating the Expression: 1/3 × 3/5 × 2 1/4 as a Fraction
In this article, we will evaluate the expression 1/3 × 3/5 × 2 1/4 as a fraction. To do this, we need to follow the order of operations (PEMDAS) and multiply the given fractions.
Step 1: Convert the Mixed Number to an Improper Fraction
First, let's convert the mixed number 2 1/4 to an improper fraction.
2 1/4 = (2 × 4) + 1 / 4 = 9 / 4
Step 2: Multiply the Fractions
Now, let's multiply the fractions:
(1/3) × (3/5) × (9/4) = ?
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), like this:
Numerator: 1 × 3 × 9 = 27 Denominator: 3 × 5 × 4 = 60
So, the result of the multiplication is:
27 / 60
Simplifying the Fraction
We can simplify the fraction 27/60 by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 27 and 60 is 3. Therefore, we divide both numbers by 3:
27 ÷ 3 = 9 60 ÷ 3 = 20
Thus, the simplified fraction is:
9/20
Conclusion
The final answer is 9/20. Therefore, the expression 1/3 × 3/5 × 2 1/4 as a fraction is equal to 9/20.
