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AlladinOne [14]
3 years ago
9

Of the following fractions. which is least? 4/7 2/3 3/8 3/5

Mathematics
2 answers:
Karolina [17]3 years ago
7 0

3/8 is your answer, it is .375

4/7 would be a lil over .50

2/3 would be .66*

3/5 would be .60

sorry lol i love fractions hope this helped

Otrada [13]3 years ago
7 0

In order to find the fraction with the least value we need to make sure they have the same denominator. The LCD all these fractions have is 840.

•

First fraction.

\displaystyle\frac{4}{7} × \displaystyle\frac{120}{120}  =  \displaystyle\frac{480}{840}

Second fraction.

\displaystyle\frac{2}{3} × \displaystyle\frac{280}{280}= \displaystyle\frac{560}{840}

Third fraction.

\displaystyle\frac{3}{8} × \displaystyle\frac{105}{105} = \displaystyle\frac{315}{840}

Fourth fraction.

\displaystyle\frac{3}{5} × \displaystyle\frac{168}{168} = \displaystyle\frac{504}{840}

According to the converted fractions, the least fraction in the sequence is...

\displaystyle\frac{3}{8}

•

•

- <em> Marlon Nunez</em>

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An arhitect wants to draw a rectangle with a diagonal of 20 inches. The length of the rectangle is to be 8 inches more than twic
kiruha [24]

The diagonal of a rectangle = sqrt(w^2 + l^2)

w = width

l = length

In this problem,

The diagonal = 20 in

w = x

l = 2x + 8

Let's plug our numbers into the formula above.

20in = sqrt((x)^2 + (2x + 8)^2)

Let's simplify the inside of the sqrt

20 in = sqrt(5x^2 + 32x + 64)

Now, let's square both sides.

400 = 5x^2 + 32x + 64

Subtract 400 from both sides.

0 = 5x^2 + 32x - 336

Factor

0 = (5x - 28)(x + 12)

Set both terms equal to zero and solve.

x + 12 = 0

Subtract 12 from both sides.

x = -12

5x - 28 = 0

Add 28 to both sides.

5x = 28

Divide both sides by 5

x = 28/5

The width cant be a negative number so now we know that the only real solution is 28/5

Let's plug 28/5 into our length equation.

Length = 2(28/5) + 8 = 56/5 + 8 = 96/5

In conclusion,

Length = 96/5 inches

Width = 28/5

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Answer:

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Step-by-step explanation:

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