Evaluating the Expression 1/3 x 22/7 x 7 x 7 x 24
In this article, we will evaluate the expression 1/3 x 22/7 x 7 x 7 x 24 and simplify it to its simplest form.
Step 1: Multiply the Fractions
First, let's multiply the fractions 1/3 and 22/7:
1/3 x 22/7 = (1 x 22) / (3 x 7) = 22/21
Step 2: Multiply by 7
Next, let's multiply 22/21 by 7:
22/21 x 7 = (22 x 7) / 21 = 154/21
Step 3: Multiply by 7 Again
Now, let's multiply 154/21 by 7 again:
154/21 x 7 = (154 x 7) / 21 = 1078/21
Step 4: Multiply by 24
Finally, let's multiply 1078/21 by 24:
1078/21 x 24 = (1078 x 24) / 21 = 25872/21
Simplifying the Expression
We can simplify the expression by dividing both the numerator and the denominator by their greatest common divisor, which is 3:
25872/21 = 8624/7
And that's the simplified form of the original expression!
