MATHEMATICS MIDDLE SCHOOL

Explain how you can determine if 1/3 and 4/12 are equivalent fractions.

Answers

Answer 1

Answer:

The expression $(1)/(3)$ is $\boxed{{\mathbf{equivalent}}}$ to the expression $(4)/(12)$ .

Further explanation:

The number ab is the product of $a\;\text{and}\;b$ and it is the multiple of $a$ where $b$ are the integers.

It can be written as,

$ab=a* b$

Given:

The given expressions are $(1)/(3)$ and $(4)/(12)$ .

Step by step explanation:

Step 1:

The given expression is $(4)/(12)$ .

The denominator and the numerator of the given expression is the multiple of $4$ .

The denominator of the expression can be written in the multiple of 4 as,

$12=4*3$

Therefore, the number 12 is the multiple of $3\;\text{and}\;4$ .

The numerator of the expression can be written in the multiple of 4 as,

$4=4*1$

Therefore, the number 4 is the multiple of $1\;\text{and}\;4$ .

Step 2:

Now, divide the given expression $(4)/(12)$ by 4 to convert in the lowest form as,

$\begin{aligned}(4)/(12)&=(4/4)/(12/4)\n&=(1)/(3)\end{aligned}$

It can be seen that the resultant answer is $(1)/(3)$ .

Now, divide the given expression $(1)/(3)$ by 1 as,

$\begin{aligned}(1)/(3)&=(1/1)/(3/1)\n&=(1)/(3)\end{aligned}$

It can be seen that the resultant answer is $(1)/(3)$ .

Thus, it can be seen that the expression $(1)/(3)$ is equivalent to the expression $(4)/(12)$ .

Learn more:

Learn more about the multiplicative identity property brainly.com/question/4238982
Learn more about distance between two pints on the number line brainly.com/question/6278187
Learn more about midpoint of the segment brainly.com/question/3269852

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Fractions

Keywords: Integers, expression, denominator, numerator, fractions, lowest form, product, multiple, equivalent, number, divide, multiply.

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Based on the type of equations in the system, what is the greatest possible number of solutions (x2+y2=9/9x+2y=16? A=1
B= 2
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D= 4

Answers

Answer:

`Option B.

Step-by-step explanation:

The given system of equations is

$x^2+y^2=9$

$9x+2y=16$

The graph of first equation is circle and the graph of second equation is a line.

We know that a line can intersect a circle at most 2 times. So, the greatest possible number of solutions is 2.

First equation can be rewritten as

$x^2+y^2=3^2$

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In the above equation h=0,k=0 and r=3. It is a circle with radius 3 and centered at origin.

The second equation is

$9x+2y=16$

It is a linear equation.

Table of values.

x y

0 8

1 3.5

2 -1

Plot these points on a coordinate plane and connect them by a straight line.

From the below graph it is clear that the line and circle intersect each other at two points. So, the given system of equation have two solutions.

Therefore, the correct option is B.

Answer:

Step-by-step explanation:

How do you write forty million eighty-one thousand in standard form

Answers

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Linda's penny bank is 1/10full. After she adds 480 pennies,it is 1/2 full. How many pennies can Linda's bank hold?

Answers

Answer:

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Step-by-step explanation:

Express (x –1)(x + 2)(x – 3) in standard form

Answers

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Step-by-step explanation:

Expand:

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3(-21)/7-12/6 need the answer

Answers

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Which is a graph for the inequality m<(or equal to)-2?

Answers

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Step-by-step explanation:

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