Evaluating the Expression: 3/5 x 3/5 x 10/2 ÷ 30
When evaluating an expression with multiple operations, it's essential to follow the order of operations (PEMDAS): parentheses, exponents, multiplication and division, and finally addition and subtraction. Let's break down the given expression step by step.
Step 1: Multiply 3/5 and 3/5
To multiply two fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers at the bottom), then simplify if possible:
(3/5) × (3/5) = (3 × 3) / (5 × 5) = 9/25
Step 2: Multiply the result by 10/2
Now, we multiply the result from Step 1 by 10/2:
(9/25) × (10/2) = (9 × 10) / (25 × 2) = 90/50
Step 3: Simplify the fraction
We can simplify the fraction 90/50 by dividing both numerator and denominator by their greatest common divisor, which is 10:
90/50 = (90 ÷ 10) / (50 ÷ 10) = 9/5
Step 4: Divide the result by 30
Finally, we divide the simplified fraction by 30:
(9/5) ÷ 30 = (9/5) × (1/30) = (9 × 1) / (5 × 30) = 9/150
Simplified Result
After simplifying the fraction 9/150, we get:
9/150 = (9 ÷ 3) / (150 ÷ 3) = 3/50
Therefore, the final result of the expression 3/5 x 3/5 x 10/2 ÷ 30 is 3/50.
