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How do you simplify #5/7 + 3/4#?

Answer 1

Julia Adams

#5/7 + 3/4 = 41/28#

Give the fractions you want to add a common denominator for.

The Lowest Common Denominator for #7# and #4# is #28#

That means that you should change #5/7# into #20/28#

#(5*4)/(7*4) = 20/28#

Next, change #3/4# into #21/28#

#(3*7)/(4*7) = 21/28#

You can now add similar fractions.

#20/28 + 21/28#

Add the numerators while maintaining the common denominator when adding like fractions.

#20/28 + 21/28 = 41/28# #larr# answer

Usually, the improper fraction remains an improper fraction, but it can be transformed into a mixed number if desired.

#41/28 = 1(13)/(28)# #larr# same answer

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Answer 2

Avery Alexander

The simplified result of ( \frac{5}{7} + \frac{3}{4} ) is ( \frac{41}{28} ).

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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.