To solve the expression 6/7 multiplied by 5/12, one must first understand the process of multiplying fractions. The multiplication of two fractions involves multiplying the numerators together and the denominators together. In this case, the numerator of the first fraction is 6, and the numerator of the second fraction is 5. Therefore, the product of the numerators is 6 multiplied by 5, which equals 30. 

Next, we turn our attention to the denominators. The denominator of the first fraction is 7, and the denominator of the second fraction is 12. By multiplying these two denominators together, we find that 7 multiplied by 12 equals 84. Thus, the result of the multiplication can be expressed as a single fraction: 30/84. 

To present the answer in its simplest form, it is necessary to reduce the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 30 and 84 is 6. Dividing both the numerator and the denominator by 6 yields 5/14. Therefore, the final answer, expressed as a fraction in its simplest form, is 5/14.

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