How do you divide #5 5/8 div 2/3#?

Answer 1

To divide ( \frac{5\ 5}{8} ) by ( \frac{2}{3} ), multiply the first fraction by the reciprocal of the second fraction. The result is ( \frac{111}{80} ).

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Answer 2

#8 7/16#

Transform the mixed integer into an incorrect fraction.

# 5 5/8 = 45/8#

Assign a complicated fraction to represent the division.

# ( 45/8)/(2/3)#
eliminate the bottom fraction # 2/3# by multiplying by the inverse. (Remember that what ever is done to the bottom must always be done to the top. ( fairness)
# {(45/8) xx (3/2)}/{ (2/3) xx (3/2)}#
# 2/3 xx 3/2 = 1# so this leaves
# 45/8 xx 3/2 = 135/16 = 8 7/16#
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Answer 3

#= 8 7/16#

Always convert mixed numbers to improper fractions when dividing fractions:

#5 5/8 div 2/3#
#= 45/8 xx 3/2" "larr# to divide, multiply by the reciprocal
#= 135/16" "larr# multiply straight across, nothing cancels
#= 8 7/16#

The question and answer were provided in mixed numbers.

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Answer 4

A slightly different approach.

#8 7/16#

#color(blue)("An example of the method using numbers")#
I choose: #9-:3# but 9 can be written as #6+3# so we may write the same thing as
#9 -:3->(6+3)-:3#
This is the same as: #(6+3)xx1/3#
Multiply everything inside the brackets by #1/3# giving #6/3+3/3=3# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ #color(blue)("Answering the question")#
Writ #5 5/8# as #5+5/8# so now we have: #(5+5/8)-:2/3#
This is the same as #(5+5/8)xx3/2#
Note that #-:2/3# give the same answer as #xx3/2#
Multiply everything inside the brackets by #3/2# giving:
#color(green)(15/2+15/16" "=" "[15/2color(red)(xx1)]+15/16)#

If you multiply a fraction by 1, its value remains unchanged. Nevertheless, since 1 can take on various forms, you can alter its appearance without affecting its intrinsic value.

#color(green)(" "=" "[15/2color(red)(xx8/8)]+15/16)#
#" = "120/16 " "+15/16" "=" "135/16#
#" "=" "8 7/16#
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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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