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Answer :
Final answer:
To simplify (6/35)(14/15), cancel the common factors to get (3/7)(7/3), which simplifies to 1.
Explanation:
To simplify the expression (6/35)(14/15), you should multiply the numerators together and the denominators together. You can simplify this expression before multiplying, by canceling out any common factors in the numerator and denominator.
Looking at the numerators, 6 and 14, we notice that 2 is a common factor. When we divide them by 2, we get 3 and 7, respectively. Now, looking at the denominators 35 and 15, we find that 5 is a common factor. Dividing them by 5 gives us 7 and 3, respectively. Now we multiply across with the simplified numbers.
Thus, (3/7)(7/3) equals 21 divided by 21, which simplifies to 1 because any number divided by itself equals 1. So, the simplified expression of (6/35)(14/15) is 1.
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