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
jeka94
3 years ago
9

Solve the following problems. Reduce your answers to their simplest form. a. 13⁄41 + 27⁄82 b. 3 5⁄24 + 6 7⁄24 + 4 9⁄24 c. 5 2⁄3

+ 29⁄69 + 6 21⁄23 d. 3 9⁄10 + 4⁄9 + 7⁄45 + 4 e. 6 – 7⁄15 f. 11 3⁄8 – 7⁄8 g. 7 1⁄6 – 3 4⁄9 h. 5 3⁄8 – 3 2⁄5
Mathematics
2 answers:
babunello [35]3 years ago
5 0

<u>QUESTION A</u>

We want to simplify,

\frac{13}{41}+\frac{27}{82}


The least common denominator is 82.


We collect LCM for the denominators to obtain an expression which is,


=\frac{2\times13 +27}{82}


We simplify the product in the numerator to get,


=\frac{26 +27}{82}


We now simplify the numerator to obtain,

=\frac{53}{82}


<u>QUESTION B</u>

We want to simplify

3\frac{5}{24}+6\frac{7}{24}+4\frac{9}{24}


We can add the whole number parts separately and the fractional parts also separately and the simplify of change the improper fractions to mixed numbers.


=(3+6+4)+(\frac{5}{24}+\frac{7}{24}+\frac{9}{24})



=13+\frac{5+7+9}{24}

This gives us,

=13+\frac{21}{24}


=13+\frac{7}{8}



=13\frac{7}{8}


<u>QUESTION C</u>

The given problem is

5\frac{2}{3} +\frac{29}{69}+6\frac{21}{23}


We change improper fractions to mixed numbers to get,

\frac{17}{3} +\frac{29}{69}+\frac{159}{23}

The least common denominator is 69

We now collect LCM to obtain,


\frac{17\times 23+1\times 29+3\times159}{69}


=\frac{391+29+477}{69}


This simplifies to,

=\frac{897}{69}

This will give us

=13


QUESTION D

We want to simplify

3\frac{9}{10}+\frac{4}{9}+\frac{7}{45}+4


We change the improper fractions to mixed numbers to get,

\frac{39}{10}+\frac{4}{9}+\frac{7}{45}+4

The least common denominator is 90.


We collect LCM to get,


\frac{39\times9+4\times 10+2\times7}{90}

We simplify to get,

=\frac{351+40+16}{90}

this gives us,

=\frac{405}{90}


=4\frac{1}{2}


<u>QUESTION E</u>

The given expression is

6-\frac{7}{15}


The least common denominator is 15.


We collect LCM to obtain,

=\frac{6\times15-7}{15}

This simplifies to


=\frac{90-7}{15}


=\frac{83}{15}

=5\frac{8}{15}


<u>QUESTION F</u>

The given problem is

11\frac{3}{8}-\frac{7}{8}

Let us change the mixed number to improper fraction to obtain,

=\frac{91}{8}-\frac{7}{8}

The least common denominator is 8.


We collect LCM to obtain,

=\frac{91-7}{8}

This simplifies to,

=\frac{84}{8}


We write back as a mixed number to get,

=10\frac{1}{2}


<u>QUESTION G</u>

The given problem is

7\frac{1}{6}-3\frac{4}{9}

Let us convert the mixed number to improper fraction to obtain,

=\frac{43}{6}-\frac{31}{9}

The least common denominator is 18.

We collect LCM to get,

=\frac{3\times43-2\times31}{18}


=\frac{129-62}{18}


We simplify the numerator to obtain,

=\frac{67}{18}

We convert back to mixed numbers to obtain,

=3\frac{13}{18}


<u>QUESTION H</u>

The problem given to us is


5\frac{3}{8}-3\frac{2}{5}


We convert the improper fractions to mixed numbers to get,

=\frac{43}{8}-\frac{17}{5}


The least common denominator is 40.


We collect LCM to obtain,

=\frac{5\times43-8\times17}{40}


This gives us,

=\frac{215-136}{40}


We subtract in the numerator to get,

=\frac{79}{40}


We convert to mixed numbers to get,

=1\frac{39}{40}








KATRIN_1 [288]3 years ago
4 0
<span>13⁄41 + 27⁄82 = 26/82 + 27/82 = 53/82

3 5/24 + 6 7/24 + 4 9/24 = 13 20/24 = 13 5/6

</span><span>5 2⁄3 + 29⁄69 + 6 21⁄23 = 5 46/69 + 29/69 + 6 63/69 = 11 138/69 = 13
</span>
<span>3 9⁄10 + 4⁄9 + 7⁄45 + 4 = 3 81/90 + 40/90 + 14/90 + 4 = 7 135/90 = 8 1/2

</span><span>6 – 7⁄15 = 5 15/15 - 7/15 = 5 6/15

</span><span>11 3⁄8 – 7⁄8 = 10 11/8 - 7/8 = 10 4/8 = 10 1/2

</span><span> 7 1⁄6 – 3 4⁄9 = 7 9/54 - 3 18/54 = 6 63/54 - 3 18/54 = 3 45/54 = 3 5/6
</span>
<span>5 3⁄8 – 3 2⁄5 = 5 15/40 - 3 16/40 = 4 55/40 - 3 16/40 = 1 39/40</span>
You might be interested in
3. The weights of apples in a shipment from Al's Orchards are normally distributed with a mean of 142 grams and a standard devia
Kamila [148]
The z scores corresponding to the mean weight of a rotten apple relative to the apples from either orchard are, respectively,

\dfrac{142-156}9\approx-1.56

\dfrac{165-156}{13}\approx0.69

The mean for the standard normal distribution is 0, which means that z scores closer to 0 represent data points that are more likely to occur. Therefore it's reasonable to believe that rotten apples occur more often in shipments from Zippy's.
3 0
3 years ago
795 rounded to the nearest million
Andre45 [30]
I’m guessing it is 1 million because you can only round up since it’s value is not above 1 million.
3 0
3 years ago
Is BA(OH)2 soluble or insoluble in water
andreev551 [17]

Answer: soluble

Step-by-step explanation:

4 0
3 years ago
A scientist began a study with a sample of 1,500 bacteria. He noticed that
dedylja [7]

Answer:

C

Step-by-step explanation:

6 0
2 years ago
If N/8+6=58, then N equals?
GaryK [48]
N equals <em>416</em>

Hope this helps!

8 0
3 years ago
Read 2 more answers
Other questions:
  • How many solutions are there for the system of equations shown on the graph? A coordinate plane is shown with two lines graphed.
    8·2 answers
  • Alissa cut a piece of string that was 17feet long. Darnell cut a piece of string that was 5 yards long. Alissa wanted to cut her
    9·1 answer
  • 6 oz of ground beef are needed to make one hamburger. If one package of ground beef contains 12 lb how many hamburgers can be ma
    10·1 answer
  • Factor expression. Show your work. q^2 - 9 = (q + 3)(g - 3)
    9·1 answer
  • If g represents Greg's age and his daughter is 4 years less than one half his age, then write an expression for his daughter's a
    8·1 answer
  • What is the difference between a two-dimensional sketch and an isometric sketch?
    14·1 answer
  • Find the value of y for the given value of x for the equation: y = x - 8; x =<br> 5*
    15·1 answer
  • A local hamburger shop sold a combined total of 719 hamburgers and cheeseburgers on Sunday.There were 69 more cheeseburgers sold
    6·2 answers
  • 75% of 72 hours find the quantity represented by each percent
    8·2 answers
  • Answer plz it a maath question
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!