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3 years ago

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5 1/8+5/6+5/12=6.375 what is 6.375 as a fraction? A 6 3/4. B.6 3/8. C6 3/12. D 6 3/24 please help

1 answer:

vovikov84 [41]3 years ago

3 0

B. 6 3/8
How do we get this? Simple:
6.375--->We already know that 6 will be the whole number in the mixed fraction.

We then move on to represent the decimal part as the fraction. 375 will be the numerator. The denominator depends on how many decimal places we have (3 in this case, since there are 3 numbers after the period--375). Each decimal place represents a 10 (or a 0 after the 1). So we get that our denominator will be a 1000.

We get the following fraction
6 375/1000

We simplify. Let's start by dividing numerator and denominator by 5:
6 75/200

Let's divide by 5 again:
6 15/40

Let's divide by 5 again:
6 3/8

Or we could have divide by 125 from the get go and get the same results.

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Part B) The perimeter of the figure is $20\ units$

Step-by-step explanation:

step 1

Find the area of the figure

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<u>Area of triangle ABD</u>

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<u>Area of triangle BCD</u>

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step 2

Find the perimeter of the figure

we know that

The perimeter of the figure is equal to

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the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

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Find the distance BC

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Find the distance CD

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Find the distance AD

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substitute the values

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