1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
r-ruslan [8.4K]
2 years ago
14

Evaluate: 5/6 + 4/9 =___?​

Mathematics
2 answers:
Afina-wow [57]2 years ago
7 0

Answer:

23/18 or 1 5/18

Step-by-step explanation:

In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).

Equation Given

5/6 + 4/9

Finding LCM

- List down their multiples

The multiples of 6  = 6 12 18 24

The multiples of 9  = 9 18 27 36

Thus, their Least Common Multiple (LCM) is 18

Converting Dissimilar Fraction into Similar Fraction

The LCM is already the denominator

Divide the LCM by its original denominator then multiply by numerator to get the new numerator

5/6

(18 ÷ 6) × 5 = 15/18, new fraction

4/9

(18 ÷ 9) × 4 = 8/18, new fraction

Evaluate

15/18 + 8/18

= 23/18, or

= 1 5/18

Answer:

23/18 or 1 5/18

Step-by-step explanation:

In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).

Equation Given

5/6 + 4/9

Finding LCM

List down their multiples

The multiple of 6

6 12 18 24

The multiple of 9

9 18 27 36

Thus, their Least Common Multiple (LCM) is 18

- Converting Dissimilar Fraction into Similar Fraction

The LCM is already the denominator

Divide the LCM by its original denominator then multiply by numerator to get the new numerator

5/6

(18 ÷ 6) × 5 = 15/18, new fraction

4/9

(18 ÷ 9) × 4 = 8/18, new fraction

- Evaluate

15/18 + 8/18

= 23/18, or

= 1 5/18

nignag [31]2 years ago
5 0

Answer:

Hi, There!

Thanks for choosing Brainly!

<h2>Question</h2>

evaluate: 5/6 + 4/9 =___?​

<h2>Answer</h2><h2>1\frac{5}{18}</h2>

Step-by-step explanation:

\frac{5}{6} +\frac{4}{9} =~?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(5/6, 4/9() = 18

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(\frac{5}{6} ~x~\frac{3}{3}) +(\frac{4}{9}~ x~\frac{2}{2}) =~?

Complete the multiplication and the equation becomes

\frac{15}{18} +\frac{8}{18} ~=~?

Then 15 +8 =23

And   18 =       18

which equals the fraction \frac{23}{18} and is the same as 23÷ 18

Convert to a mixed number using

long division for 23 ÷ 18 = 1R5, so

1\frac{5}{18}

You might be interested in
Perform the indicated operation. 4/11 * 10/8
Sliva [168]
So basically what you wanna do is multiply across giving you 40/88 which you can simplify down to 5/11 
Hope this helps :D
4 0
3 years ago
Read 2 more answers
What is the answer <br> How do you solve it
stich3 [128]

Answer:

-50y+(-80)

Step-by-step explanation:

3 0
2 years ago
Which systems of equations does this graph represent?
Maru [420]

mmcht. can't really see the graph

8 0
3 years ago
If a rectangular painting is 3 feet long and 5/6 foot wide what is the area of the painting
natka813 [3]

Answer:

A = 2 1/2 ft^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 3 * 5/6

A = 5/2 ft^2

A = 2 1/2 ft^2

3 0
3 years ago
Read 2 more answers
Your friend says that the absolute value equation |3x+8|−9=−5 has no solution because the constant on the right side of the equa
xenn [34]

Solution, solve\:for\:x,\:\left|3x+8\right|-9=-5\quad :\quad x=-4\quad \mathrm{or}\quad \:x=-\frac{4}{3}

Steps:

\left|3x+8\right|-9=-5

\mathrm{Add\:}9\mathrm{\:to\:both\:sides},\\\left|3x+8\right|-9+9=-5+9

\mathrm{Simplify},\\\left|3x+8\right|=4

|f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a,\\3x+8=-4\quad \quad \mathrm{or}\quad \:\quad \:3x+8=4

3x+8=-4,\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides},\\3x+8-8=-4-8,\\\mathrm{Simplify},\\3x=-12,\\\mathrm{Divide\:both\:sides\:by\:}3,\\\frac{3x}{3}=\frac{-12}{3},\\\mathrm{Simplify},\\x=-4

3x+8=4,\\\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides},\\3x+8-8=4-8,\\\mathrm{Simplify},\\3x=-4,\\\mathrm{Divide\:both\:sides\:by\:}3,\\\frac{3x}{3}=\frac{-4}{3},\\\mathrm{Simplify},\\x=-\frac{4}{3}

Combine\:the\:ranges,\\x=-4\quad \mathrm{or}\quad \:x=-\frac{4}{3}

\mathrm{The\:Correct\:Answer\:is\:No\:They\:Are\:Not\:Correct}

\mathrm{Hope\:This\:Helps!!!}

\mathrm{-Austint1414}

4 0
2 years ago
Other questions:
  • Y=-5x+3 in standard form
    15·1 answer
  • Which lists these numbers in order from least to greatest?
    14·1 answer
  • What are the first 4 terms in the sequence represented by the expression 2n+3?
    9·1 answer
  • The members of the student council are selling raffle tickets. The school decides that the top three raffle ticket sellers will
    11·1 answer
  • What is the answer tho w <br> Simplify <br><br> 16=5w-w
    9·2 answers
  • Hey can someone help me with thsi
    5·2 answers
  • Please help with the top question !
    9·2 answers
  • HIII BEAUTIFUL PEOPLEeeeee
    10·2 answers
  • There are 14 red, 10 yellow, 5 green, and 3 purple candies in a bag. What is the probability that a candy chosen at random is no
    5·1 answer
  • How many minutes did Todd use in October
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!