How do you evaluate #-\frac { 4} { 9} + ( - \frac { 5} { 6} ) #?

Answer 1

The result is #-1 5/18#

First thing to do is to find the common denominator. For #9# and #6# the lowest common multiplier is #18#.
#-4/9+(-5/6)=-8/18-15/18=-23/18#

The wrong fraction must be converted to a mixed number as the final step:

#-23/18=-1 5/18#

The response is:

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

#=-23/18#

We must first find the Least common denominator (LCD) of #9# and #6#
If we write out a list of factors of both #9# and #6# we can easily find the LCD
#9: 9, color(blue)18, 27, 36# #6: 6, 12, color(blue)18,24#
We find that the LCD is #color(blue)18#
Now we must manipulate each fraction so that the denominator is #18# for both fractions.
For #-4/9# we can multiply #2# to #9# to get a denominator of #18# but we will also need to multiply the numerator by #2# to balance the fraction. Thus,
#-color(red)(2color(black)(*4))/(color(red)2*9) = -8/18#
Similarly for the fraction #-5/6#, we can multiply both the numerator and denominator by #3#
#-color(red)(3color(black)(*5))/(color(red)3*6) = -15/18#

When we combine the two fractions now...

#-8/18+(-15/18)#
# = -8/18-15/18#
#=-23/18#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 3

To evaluate the expression (-\frac{4}{9} + (-\frac{5}{6})), we first find a common denominator for the fractions, which in this case is 18.

(-\frac{4}{9} = -\frac{8}{18})

(-\frac{5}{6} = -\frac{15}{18})

Now, we can add the fractions:

(-\frac{8}{18} + (-\frac{15}{18}) = -\frac{23}{18})

So, (-\frac{4}{9} + (-\frac{5}{6}) = -\frac{23}{18}).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 4

To evaluate (-\frac{4}{9} + (-\frac{5}{6})), you first find the common denominator, which is 18. Then, you convert each fraction to have the common denominator:

(-\frac{4}{9} = -\frac{8}{18}) and (-\frac{5}{6} = -\frac{15}{18})

Now, you can add the fractions:

(-\frac{8}{18} + (-\frac{15}{18}) = -\frac{8 - 15}{18} = -\frac{23}{18})

So, (-\frac{4}{9} + (-\frac{5}{6}) = -\frac{23}{18}).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
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.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7