How to find the value of 22/15 x 65/33 x 18/13?

You could multiply the (rounded) decimal equivalents, 1.4667 x 1.9697 x 1.3846, or compute the ratio of the products of numerators and denominators, which is

25740/6435.

In this case, you can also do some rearranging and cancelling, by changing 18/15 to 6/5, 65/13 to 5, and 22/33 to 2/3, giving you
2/3 x 6/5 x 5 = 2/3 x 6 = 4
usually, one isn't that lucky with the cancelling method

Factor everything thus:

2*11*5*13*2*3*3
-------------- = 2*2 = 4
3*5*3*11*13

QED.

To find the value of the expression (22/15) * (65/33) * (18/13), we need to follow these steps:

Step 1: Simplify the fractions.
Step 2: Multiply the numerators together.
Step 3: Multiply the denominators together.
Step 4: Simplify the resulting fraction, if needed.

Let's go through these steps:

Step 1: Simplify the fractions.
22/15 = 22/15
65/33 = 5/3
18/13 = 18/13

Step 2: Multiply the numerators together.
22 * 5 * 18 = 1980

Step 3: Multiply the denominators together.
15 * 3 * 13 = 585

Step 4: Simplify the resulting fraction, if needed.
The fraction 1980/585 can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD is 45.

By dividing both the numerator and denominator by 45:
1980/45 ÷ 585/45 = 44/13

Therefore, the value of (22/15) * (65/33) * (18/13) is 44/13, or approximately 3.38.