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3 years ago

37.5% written as a decimal and as a fraction in simplest form

2 answers:

7 0

$p\%=\dfrac{p}{100}\\\\37.5\%=\dfrac{37.5}{100}=\dfrac{37.5\cdot10}{100\cdot10}=\dfrac{375}{1000}\\\\\dfrac{375}{1000}=\dfrac{375:125}{1000:125}=\dfrac{3}{8}\\\\\dfrac{375}{1000}=0.375\\\\Answer:\ \boxed{37.5\%=\dfrac{3}{8}=0.375}$

Zina [86]3 years ago

5 0

Answer:

.375

3/8

Step-by-step explanation:

37.5 %

To get rid of the percent sign, we move the decimal 2 places to the left

.375

There are 3 digits to the right of the decimal, so to make it a fraction we put a 1 with 3 zero's in the denominator

375/1000

We can divide the top and bottom by 5

75/200

We can divide the top and bottom by 25

3/8

You might be interested in

Thirteen plus 5 times a number is no more than 30.<br> Step1: <br> Step2:<br> Step3: <br> Step4:

leva [86]

Step 1: 13+5x=30
step 2: subtract 13 from both sides; then youd get 5x=17
step 3: divide by 5
step 4: x=3.4

i hope this is what you were looking for

6 0

3 years ago

(8m-3n)^2 - (4m+3n)^2

natulia [17]

Answer:

$48m^2-72mn$

Step-by-step explanation:

We need to solve $(8m-3n)^2 - (4m+3n)^2$

We know that,

$(a+b)^2=a^2+b^2+2ab\\\\(a-b)^2=a^2+b^2-2ab$

Using the above formula,

$(8m-3n)^2 - (4m+3n)^2=(8m)^2+(3n)^2-2(8m)(3n)-[(4m)^2+(3n)^2+2(4m)(3n)]\\\\=64m^2+9n^2-48mn-(16m^2+9n^2+24mn)\\\\=64m^2+9n^2-48mn-16m^2-9n^2-24mn\\\\=48m^2-48mn-24mn\\\\=48m^2-72mn$

So, the final answer is $48m^2-72mn$ .

4 0

3 years ago

Can you help my sis out agan sorry

jonny [76]

Answer:

That would be .51000

3 0

3 years ago

Read 2 more answers

Can someone please simplify the complex fraction?

dmitriy555 [2]

$\bf \cfrac{\qquad \frac{x+3}{4x^2-16}\qquad }{\frac{2x^2+10x+12}{2x-4}}\implies \cfrac{\frac{x+3}{4(x^2-4)}}{\frac{\underline{2}(x^2+5x+6)}{\underline{2}(x-2)}}\implies \cfrac{\frac{x+3}{4(x^2-2^2)}}{\frac{x^2+5x+6}{x-2}}\implies \cfrac{\frac{x+3}{4(x-2)(x+2)}}{\frac{(x+3)(x+2)}{x-2}}$

$\bf \cfrac{\underline{x+3}}{4\underline{(x-2)}(x+2)}\cdot \cfrac{\underline{x-2}}{\underline{(x+3)}(x+2)}\implies \cfrac{1}{4(x+2)}\cdot \cfrac{1}{x+2}
\\\\\\
\cfrac{1}{4(x+2)(x+2)}\implies \cfrac{1}{4(x^2+4x+4)}\implies \cfrac{1}{4x^2+16x+16}$

8 0

3 years ago

Least to greatest 1/5 2/3 5/8

DanielleElmas [232]

To order these, it's easiest to find their decimal to better understand their value:

1/5 = 0.2
2/3 = 0.66666...
5/8 = 0.625

now order them from least to greatest. 0.2 is your smallest decimal here, followed by 0.625, and 0.66666 is last. change them back to fraction form: 1/5, 5/8, 2/3. this is the order from least to greatest.

8 0

3 years ago