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3 years ago

Put these values in order from least to greatest. 7/8,84%,0.821

Mathematics

1 answer:

Darina [25.2K]3 years ago

7 0

Answer:

0.821, 84%, 7/8

Step-by-step explanation:

So, first, you have to convert them all to the same form. We'll be using decimals.

7/8= 0.875

84%= 0.84

0.821

Now, just put them in order and use the original form in your final answer.

0.821, 0.84, 0.875

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Covert 77 1/2% to a fraction in lowest term

Elodia [21]

$77\frac{1}{2} \%$ converted to fraction in lowest terms is $\frac{31}{40}$

<em><u>Solution:</u></em>

Given that we have to convert $77\frac{1}{2} \%$ to fraction in lowest terms

Let us first convert the mixed fraction $77\frac{1}{2}$

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Therefore,

$77\frac{1}{2} \% = \frac{77 \times 2+1}{2} \% = \frac{155}{2} \%$

$\frac{155}{2} \% = 77.5 \%$

Now convert 77.5 % to fraction

So we have to convert percentage to fraction

Divide the percentage by 100 to get a decimal number

$77.5 \% = \frac{77.5}{100} = 0.775$

Use that decimal number as the numerator of a fraction. Put a 1 in the denominator of the fraction

Count the number of places to the right of the decimal. If you have x decimal places then multiply numerator and denominator by $10^x$

$0.775 = \frac{0.775}{1} \times \frac{1000}{1000} = \frac{775}{1000}$

Simplify and reduce the fraction to lowest terms

$\rightarrow \frac{775}{1000} = \frac{31}{40}$

Thus the given percentage is converted to fraction in lowest terms

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3 years ago

Chloe has 26 1/4 yards of ribbon to wrap presents. She needs 3 3/4 yards for each present. How many presents can Chloe wrap?

Mashcka [7]

Chloe could wrap 7 presents

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4 years ago

Which weighs more a pound of snails or a pound of eggs??

malfutka [58]

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3 years ago

Read 2 more answers

A franchise is ourned by three people. The first owns 1/5 of the business and the second owns 2/7 of the business. What fraction

ExtremeBDS [4]

Answer: 8/35.

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3 years ago

A real estate company wants to build a parking lot along the side of one of its buildings using 400 feet of fence. If the side a

svetlana [45]

Answer:

1.) Therefore the side parallel to the building is 100 feet.

2.) The side perpendicular to the building is 200 feet.

Step-by-step explanation:

The parking lot, which is rectangular, is built along the side of one of its buildings.

The side of the parking lot which is alongside the building needs no fence,

let us say that this side is of length y.

Let the perpendicular to the building be of length x.

The perimeter of the parking lot that actually needs to be fenced = 2x + y

The amount of fencing available = 400 feet.

Therefore 2x + y = 400 .... (i)

Therefore y = 400 - 2x .... (ii)

The area of the parking lot, A = xy = x ( 400 - 2x) = 400x - $2x^2$ .... (iii)

Therefore $\frac{dA}{dx} = \frac{d(400x - 2x^2}{dx} = 400 - 4x$ .... (iv)

Also we get $\frac{d^2A}{dx^2} = -4$ .... (v)

Hence we will get the maximum value of the parking lot by equating the first order differential of area, A to zero as the second order differential of area, A is negative.

Therefore from (iv) we get 400 - 4x = 0 ∴ x = 100 feet

y = 400 - 2x = 400 - 200 = 200 feet.

1.) Therefore the side parallel to the building is 100 feet.

2.) The side perpendicular to the building is 200 feet.

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4 years ago