All categories

3 years ago

What is 36/100 added with 4/10

Mathematics

2 answers:

Ipatiy [6.2K]3 years ago

5 0

Answer:

0.76 or 19/25

Step-by-step explanation:

Convert 4/10 so that it has a common denominator with 36/100.

4/10 x 10/10 = 40/100

Now that the denominator is the same, just add the top values.

40/100 + 36/100 = 76/100

We can also simplify the answer to be 19/25 by dividing the top and bottom by 4.

loris [4]3 years ago

5 0

Answer:

Step-by-step explanation:

$\frac{36}{100}+\frac{4}{10}\\Let\: first\: deal\: with\: ;\frac{36}{100}\\\mathrm{Cancel\:the\:common\:factor:}\:4\\=\frac{9}{25}\\\\=\frac{9}{25}+\frac{4}{10}\\Now \:lets \:deal \:with ; \frac{4}{10}\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{2}{5}\\=\frac{9}{25}+\frac{2}{5}\\\mathrm{Prime\:factorization\:of\:}25:\quad 5\times\:5\\\mathrm{Prime\:factorization\:of\:}5:\quad 5\\\mathrm{Multiply\:each\:factor\:the\:greatest\:number\:of\:times\:it\:occurs\:in\:either\:}25\mathrm{\:or\:}5\\$

$\lim_{n \to \infty} a_n =5\cdot \:5\\\\\mathrm{Multiply\:the\:numbers:}\:5\cdot \:5=25\\=25\\\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}\\\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:25\\\mathrm{For}\:\frac{2}{5}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}5\\\frac{2}{5}=\frac{2\times \:5}{5\times \:5}=\frac{10}{25}\\=\frac{9}{25}+\frac{10}{25}\\$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{9+10}{25}\\\\=\frac{19}{25}$

You might be interested in

A recipe for soup calls for 2 cups of black beans for

mixer [17]

Answer:

16 cups

Step-by-step explanation:

5x8=40

2x8=16

7 0

3 years ago

A farmer planted 2/5 of his 60 acres in beans and 4/10 of his 60 acres in corn. What fraction of the 60 acres had been planted i

yanalaym [24]

The answer is that 48 have been planted with bean and corn and 24 acres is beans and another 24 acres is corn

5 0

3 years ago

A particular circle in the standard (x,y) coordinate

matrenka [14]

For any circle with Cartesian equation
$(x-a)^2 + (y-b)^2 = r^2$ ,
we have that the centre of the circle is $(a,b)$ , and the radius of the circle is $r$ .

So in the case that
$(x-5)^2 + y^2 = 38$ ,
we essentially have that
$a = 5, b = 0, r^2 = 38$ .

So the centre of the circle is $(5,0)$ , and the radius is $\sqrt{38}$ .

7 0

3 years ago

What is 1/6+1/2 in its simplest form?

Salsk061 [2.6K]

1/2. 1/6
1/2×3=3/6
3/6+1/6=4/6
4/6=2/3

2/3

6 0

3 years ago

Read 2 more answers

I need help with #7 c and d

Misha Larkins [42]

Answer:

c. 33.0%

d. 14.5%

Step-by-step explanation:

For answering questions about percentages in different categories or combinations of categories, it is convenient to find the totals of rows and columns in the table. These totals are shown in the attached.

Students who surf total 32+65 = 97. Of those, 32 also skateboard. The requested percentage is ...

32/97 × 100% ≈ 33.0% . . . . surfers who also skateboard

The total number of students is 166. Of those, the number who neither surf nor skateboard is 24. That percentage is ...

24/166 × 100% ≈ 14.5% . . . . students who don't surf or skateboard

_____

<em>Additional comment</em>

a. 97/166 ≈ 58.4% surf

b. 89/166 ≈ 53.6% do not skateboard

This sort of table is called a "two-way table." One set of categories is represented in rows, another set is represented in columns. This table is filled with <em>frequencies</em>. Such tables can also display <em>relative frequencies</em> by dividing the entire table by the total of totals in the lower right corner.

3 0

2 years ago