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2 years ago

2 Rewrite the improper fractions as mixed numbers. 4/3=

Mathematics

2 answers:

lara31 [8.8K]2 years ago

7 0

Answer:

1 1/3

Step-by-step explanation:

3/3 = 1 Whole

Therefore 4/3 = 1 1/3

Lana71 [14]2 years ago

3 0

Answer: For 4/3, the denominator is 3. Improper fraction. This is a fraction where the numerator is greater than the denominator. Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction.

Step-by-step explanation:

Before we begin, let's revisit some basic fraction terms so you understand exactly what we're dealing with here:

Numerator. This is the number above the fraction line. For 4/3, the numerator is 4.

Denominator. This is the number below the fraction line. For 4/3, the denominator is 3.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 4/3 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

4/3= 1.3333333333333 = 1

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (1) and multiply it by the original denominator (3). The result of that multiplication is then subtracted from the original numerator:

4 - (3 x 1) = 1

Step 3: Our mixed fraction

We've now simplified 4/3 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

Step 4: Simplifying our fraction

In this case, our fraction (1/3) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 1 and 3 is 1.

We can now divide both the new numerator and the denominator by 1 to simplify this fraction down to its lowest terms.

1/1 = 1

3/1 = 3

When we put that together, we can see that our complete answer is:

Hopefully this tutorial has helped you to understand how to convert any improper fraction you have into a mixed fraction, complete with a whole number and a proper fraction. You're free to use our calculator below to work out more, but do try and learn how to do it yourself. It's more fun than it seems, I promise!

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It depends and the measurement of the angle.
30-60-90(shown in image)
or
45-45-90
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3 years ago

Find the circumference of circle with a radius of 63mm. Use 22/7 for pi

Mariulka [41]

Answer:

396

Step-by-step explanation:

circumference of a circle is 2 x pi x r = 2 x 63 x (22/7) = 396

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3 years ago

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What is the perimeter of a rectangular building that is 80 feet wide and 140 feet deep?

EastWind [94]

Answer:

= 440 ft

Step-by-step explanation:

The perimeter of a rectangle is found by adding up all the sides. We use the formula

P =2(l+w)

where l is the length and w is the width

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3 years ago

A submarine starts at sea level and travels to a position that is a little lower than −24 feet. Use the drop-down menus to compl

Black_prince [1.1K]

Answer:

The submarine's position means the distance it traveled is greater than 24 feet
A possible position of the submarine is -27 feet

Step-by-step explanation:

Distance is generally a positive number. (Displacement, or position may be negative, as in this case.) If the sub started at 0 feet and went lower than -24 feet, it traveled a distance of more than 24 feet (greater than 24 ft).

Of the numbers listed, the only one lower than -24 is -27.

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3 years ago

An area is approximated to be 14 in 2 using a left-endpoint rectangle approximation method. A right- endpoint approximation of t

USPshnik [31]

The trapezoidal approximation will be the average of the left- and right-endpoint approximations.

Let's consider a simple example of estimating the value of a general definite integral,

$\displaystyle\int_a^bf(x)\,\mathrm dx$

Split up the interval $[a,b]$ into $n$ equal subintervals,

$[x_0,x_1]\cup[x_1,x_2]\cup\cdots\cup[x_{n-2},x_{n-1}]\cup[x_{n-1},x_n]$

where $a=x_0$ and $b=x_n$ . Each subinterval has measure (width) $\dfrac{a-b}n$ .

Now denote the left- and right-endpoint approximations by $L$ and $R$ , respectively. The left-endpoint approximation consists of rectangles whose heights are determined by the left-endpoints of each subinterval. These are $\{x_0,x_1,\cdots,x_{n-1}\}$ . Meanwhile, the right-endpoint approximation involves rectangles with heights determined by the right endpoints, $\{x_1,x_2,\cdots,x_n\}$ .

So, you have

$L=\dfrac{b-a}n\left(f(x_0)+f(x_1)+\cdots+f(x_{n-2})+f(x_{n-1})\right)$
$R=\dfrac{b-a}n\left(f(x_1)+f(x_2)+\cdots+f(x_{n-1})+f(x_n)\right)$

Now let $T$ denote the trapezoidal approximation. The area of each trapezoidal subdivision is given by the product of each subinterval's width and the average of the heights given by the endpoints of each subinterval. That is,

$T=\dfrac{b-a}n\left(\dfrac{f(x_0)+f(x_1)}2+\dfrac{f(x_1)+f(x_2)}2+\cdots+\dfrac{f(x_{n-2})+f(x_{n-1})}2+\dfrac{f(x_{n-1})+f(x_n)}2\right)$

Factoring out $\dfrac12$ and regrouping the terms, you have

$T=\dfrac{b-a}{2n}\left((f(x_0)+f(x_1)+\cdots+f(x_{n-2})+f(x_{n-1}))+(f(x_1)+f(x_2)+\cdots+f(x_{n-1})+f(x_n))\right)$

which is equivalent to

$T=\dfrac12\left(L+R)$

and is the average of $L$ and $R$ .

So the trapezoidal approximation for your problem should be $\dfrac{14+21}2=\dfrac{35}2=17.5\text{ in}^2$

4 0

3 years ago