15.67
When multiplying or dividing, the answer is rounded to the least number of decimal places as the number in the problem with the least number of decimal places. 6.35 has 2 decimal places and 2.467 has 3 decimal places, so you round the answer to 2 decimal places.
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The least number of significant figures in any number of the problem determines the number of significant figures in the answer. Since 6.35 has 3 sig figs, the answer will be 15.7