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3 years ago

What is the difference 14/15 - 5/12 written as a decimal?

Mathematics

2 answers:

ioda3 years ago

6 0

14/15 - 5/12
= (168-73)/ (15*12)
= 93/180
= 31/60
= 0.5166666667

stiv31 [10]3 years ago

5 0

14/15 - 5/12

Common denominator is 60.

$\frac{4 * 14}{4 * 15} - \frac{5 * 5}{5 * 12}$

56/60 - 25/60

= 31/60 as fraction.
= 0.516 as decimal.

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exis [7]

Answer:

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Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

Step-by-step explanation:

Part 1) Find the length of the longest side of ∆ABC

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

x ----> the length of the longest side of ∆ABC

y ----> the length of the longest side of ∆DEF

$z=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$y=40\ units$

substitute

$\frac{1}{10}=\frac{x}{40}$

solve for x

$x=(40)\frac{1}{10}$

$x=4\ units$

therefore

The length of the longest side of ∆ABC is 4 units

Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of ∆ABC

y ----> the area of ∆DEF

$z^{2}=\frac{x}{y}$

we have

$z=\frac{1}{10}$

$z^2=(\frac{1}{10})^2$

$z^2=\frac{1}{100}$

therefore

The ratio of the area of ∆ABC to the area of ∆DEF is $\frac{1}{100}$

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point) Covert the following integers from decimal notation to binary notation. (Do not put extra zeros in front of your binary n

Paha777 [63]

Answer:

The binary notation of the integer 234 is 11101010.

Step-by-step explanation:

To convert decimal to binary you must:

Divide the number by 2.
Get the integer quotient for the next iteration.
Get the remainder for the binary digit.
Repeat the steps until the quotient is equal to 0.
Write the remainders from bottom to top.

So, to convert the decimal number 234 to binary

$\left\begin{array}{ccc}\mathrm{Division\:by \:2}&\mathrm{Quotient}&\mathrm{Remainder}\\234/2&117&0\\117/2&58&1\\58/2&29&0\\29/2&14&1\\14/2&7&0\\7/2&3&1\\3/2&1&1\\1/2&0&1\end{array}\right$

The binary notation of the integer 234 is 11101010.

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2 years ago

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