Evaluating the Expression: 1/3 x 3/5 x 2 1/4 as a Fraction
In this article, we will evaluate the expression 1/3 x 3/5 x 2 1/4 and simplify it to a single fraction.
Step 1: Convert the Mixed Number to an Improper Fraction
The mixed number 2 1/4 can be converted to an improper fraction by multiplying the whole number part by the denominator and then adding the numerator.
2 1/4 = (2 x 4) + 1 / 4 = 9/4
So, the expression becomes:
1/3 x 3/5 x 9/4
Step 2: Multiply the Fractions
Now, we can multiply the fractions:
(1/3) x (3/5) x (9/4) = (1 x 3 x 9) / (3 x 5 x 4) = 27/60
Step 3: Simplify the Fraction
We can simplify the fraction 27/60 by dividing both the numerator and the denominator by their greatest common divisor, which is 3.
27 ÷ 3 = 9
60 ÷ 3 = 20
So, the final answer is:
1/3 x 3/5 x 2 1/4 = 9/20
Therefore, the expression 1/3 x 3/5 x 2 1/4 simplifies to the fraction 9/20.
