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

Answer 1

#41/28#

To add fractions, we need to find a common denominator. The easiest way to so multiply each fraction by the other denominator:

#4/4 xx 5/7 + 3/4 xx 7/7#
The reason we multiply by #4/4# and #7/7# is that these are really #1#. When we multiply by #1# we technically don't change the value of the number
#20/28 + 21/28#
#(20+21)/28#
#41/28#

Now we simplify this:

#(41 xx 1)/(2 xx 2 xx 7)#
#41# is a prime number, so we actually can't simplify this further
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Answer 2

#=41/28 = 1 13/28#

#5/7+3/4#
#= (5xx4)/(7xx4)+(3xx7)/(4xx7)# [Since Lowest Common Multiple = 28]
#= 20/28+21/28#
#= (20+21)/28#
#= 41/28#
# = 1 13/28#
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Answer 3

To add and simplify 5/7 and 3/4, first, find a common denominator, which is the least common multiple of 7 and 4, which is 28. Then, rewrite both fractions with the common denominator.

5/7 becomes 20/28 (by multiplying numerator and denominator by 4) and 3/4 becomes 21/28 (by multiplying numerator and denominator by 7).

Now, add the fractions: 20/28 + 21/28 = 41/28.

Since the numerator is larger than the denominator, you can express this as a mixed number or a decimal.

As a mixed number, it is 1 13/28.

As a decimal, it is approximately 1.4643.

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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.

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.

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.

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.

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