MATHEMATICS HIGH SCHOOL

Add and simplify 9/16 + 1/2 =

Answers

Answer 1

Answer:

$\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}$

Further explanation

We will work on adding two fractions correctly with different denominators. The two denominators must be equated first.

In order to add these fractions, we need finding the common denominator by multiplying both denominators together.

$\boxed{(9)/(16) + (1)/(2) = \ ?}$

Both denominators, 16 and 2, are multiplied by one another. What about numerators? Pay attention to the treatment of each fraction.

$\boxed{= \big( (9)/(16) * (2)/(2) \big) + \big( (1)/(2) * (16)/(16) \big)}$

$\boxed{= (18)/(32) + (16)/(32)}$

$\boxed{= (34)/(32)}$

Let's take a break here to think.

Alternatively, develop a sharper method as below.

$\boxed{= ((9 * 2) + (16 * 1))/(16 * 2)}$

Note how this is performed. Absolutely indeed, cross-multiplication!

$\boxed{= (18 + 16)/(32)}$

$\boxed{= (34)/(32)}$

The numerator and denominator are divided by two to make it a simple fraction. After that, we simplify again into mixed fractions.

$\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}$

Gently let's take a break once more to think strategically.

Observing the steps above, we still find a large number when there is a direct multiplication of the two denominators. Are there more highly recommended steps? Of course there is!

$\boxed{(9)/(16) + (1)/(2) = \ ?}$

The denominators 2 and 16 have LCM = 16. So, we convert the given fractions into equivalent fractions with denominator 16.

$\boxed{= \big( (9)/(16) * (1)/(1) \big) + \big( (1)/(2) * (8)/(8) \big)}$

$\boxed{= (9)/(16) + (8)/(16)}$

$\boxed{= (17)/(16)}$

Do not forget simplifying again into mixed fractions.

$\boxed{\boxed{ \ (9)/(16) + (1)/(2) = (17)/(16) = 1(1)/(16) \ }}$

Note:

In the form of fractions, the steps that must be considered are

equate the denominator,
simplify fractions, and
for the final answer, convert fractions to mixed fractions or decimal forms

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Keywords: add and simplify 9/16 + 1/2 =, solve, 2/7m - 1/7 = 3/14, operations, multiply, divide, fraction, equate, common denominator, numerator, both, LCM, alternative, different, method, way, steps, simple, mixed, convert, equivalent, cross-multiplication

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Which equation represents a line which is parallel to the line 4y-3x=-8

Answers

Answer:

y=3/4x

Step-by-step explanation:

Answer:

-8y+6x=-8

Step-by-step explanation:

Can't promise this is 100% correct, but I tried.

If all four sides of an quadrilateral measure the same length, and one corner angle measures 90 degrees, circle the shape that the quadrilateral can b classified asRhombus
Square
Rectangle
Parallelogram
All the above

Answers

Answer:

All of the above

Step-by-step explanation:

ALL of the above quadrilaterals have all these characteristics.

How do you factor the equation x^2+4x+4

Answers

Answer:

x^2+4x+4=x(x−2)

Step-by-step explanation:

x^2+4x+4 = (x+2)(x+2)

What is the greatest number of acute angles that a triangle can contain?

Answers

Answer:

The greatest number of acute angle a triangle can contain are:

Step-by-step explanation:

We know that a acute angle is a angle whose measure is less than 90°.

Now we know that the sum of all the angles of a triangle is 180°.

Now we have to find such 3 angles which are less than 90° and add up to 180°.

Let we consider a equilateral triangle.

In a equilateral triangle each angle measures 60°<90°.

and also:

60+60+60=180°.

Hence, the greatest number of acute angles a triangle can contain are:

3 because you can have a 60 60 60 triangle

Sandy has 16 roses, 8 daisies, and 32 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?

Answers

Total trick question!! This can be answered multiple ways. First, one would think 7 because 16 roses, 8 daisies, and 32 tulips equal 56 total flowers and if divided equally into bouquets you would have 8 bouquets each with 2 roses, 1 daisy, and 4 tulips. That gives you the same type of flower in each bouquet along with the same amount of flowers in each bouquet. However, you can also have 8 of each type of flower in a bouquet. For example, 2 bouquets with 8 roses each, 1 bouquet with 8 daisies, and 4 bouquets with 8 tulips each.

Answer: For E2020 is B

P(tulip)= 37/86

The weather forecast states that the temperature will be lower than –5°F tonight. Let t represent the temperature in degrees Fahrenheit. Which inequality models this situation?

A.
t < –5 and t may be a negative number

B.
t < –5 and t must be a positive number

C.
t > –5 and t may be a negative number

D.
t > –5 and t must be a positive number

Answers

Hi There!

t < –5 and t may be a negative number!

Hey there,

It would be A

This < is a bracket

Bracket means something could be (greater then or less than)
In this case it showing the definition or the out come!

Hope this helped!

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