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How do you simplify #5/9 div 2/7#?

Answer 1

To simplify 5/9 ÷ 2/7, you invert the divisor (2/7) to become the reciprocal (7/2), then multiply the dividend (5/9) by the reciprocal (7/2). So, (5/9) ÷ (2/7) becomes (5/9) * (7/2). Then, multiply the numerators together (5 * 7) to get the new numerator, and multiply the denominators together (9 * 2) to get the new denominator. So, the result is (5 * 7) / (9 * 2), which simplifies to 35/18.

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Answer 2

Avery Alexander

#5/9÷2/7=35/18=1 17/18#

Dividing by a fraction is equivalent to multiplicative inverse. As multiplicative inverse of #a/b# is #b/a#, dividing by #2/7# is equivalent to multiplying by #7/2#.

Hence, #5/9÷2/7#

= #5/9×7/2=(5×7)/(9×2)#

= #35/18=(18+17)/18#

= #18/18+17/18#

= #1 17/18#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.