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How do you simplify #13/30+1/5div6/7#?

Answer 1

Ethan Adkins

#13/30+1/5divide6/7=2/3#

Using the order of operations, we know that the division must be completed first.

#1/5divide6/7=7/30#

#7/30+13/30=20/30=2/3#

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Answer 2

Eva Adamson

To simplify ( \frac{13}{30} + \frac{1}{5} \div \frac{6}{7} ), follow these steps:

Convert the division into multiplication by taking the reciprocal of the divisor: ( \frac{1}{5} \div \frac{6}{7} = \frac{1}{5} \times \frac{7}{6} ).
Find a common denominator for ( \frac{13}{30} ) and ( \frac{7}{6} ), which is 30.
Rewrite each fraction with the common denominator and perform the operations: ( \frac{13}{30} + \frac{1 \times 7}{5 \times 6} = \frac{13}{30} + \frac{7}{30} ).
Add the fractions: ( \frac{13}{30} + \frac{7}{30} = \frac{13 + 7}{30} = \frac{20}{30} ).
Simplify the result: ( \frac{20}{30} = \frac{2}{3} ).

So, ( \frac{13}{30} + \frac{1}{5} \div \frac{6}{7} = \frac{2}{3} ).

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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.