find the value of 22/15 x 65/33 x 18/13
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To find the value of the expression (22/15) * (65/33) * (18/13), you need to follow these steps:
1. Multiply the numerators together: 22 * 65 * 18 = 25,740.
2. Multiply the denominators together: 15 * 33 * 13 = 6,435.
3. The product of the numerators is the new numerator, and the product of the denominators is the new denominator. Therefore, the expression becomes 25,740/6,435.
To simplify the fraction further, you can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 25,740 and 6,435 is 855.
4. Divide both the numerator and the denominator by 855: (25,740 ÷ 855) / (6,435 ÷ 855) = 30/9
Finally, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3.
5. Divide both the numerator and the denominator by 3: (30 ÷ 3) / (9 ÷ 3) = 10/3
Therefore, the value of the expression (22/15) * (65/33) * (18/13) is 10/3.