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Stolb23 [73]
2 years ago
14

How do you add a fraction and a whole? Please explain step by step to get marked as brainliest

Mathematics
1 answer:
Dimas [21]2 years ago
5 0

Step-by-step explanation:

How do you add a fraction and a whole number?

add

Whole numbers are all natural numbers including 0.

A fraction represents a numerical value, which defines a part of a whole.

Answer: To add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.

Let's look into the steps to add a fraction to a whole number.

Explanation:

Convert the whole number into a fraction by taking the denominator as 1.

Compare the denominators and make them common so that they become like fractions.

Add the numerators of the two fractions.

Example: Add 2/15 and 5

Step 1: Converting the whole number into a fraction.

5 in terms of a fraction is written as 5/1

Step 2: Make the denominator common.

Since, 2/15 has 15 as the denominator, hence, we need to make the denominator of 5/1 as 15

Multiplying numerator and denominator with 15 we get,

(5 × 15) / (1 × 15) = 75/15

Step 3: Adding the numerators of the two fractions.

2/15 + 75/15 = (2 + 75)/15 = 77/15

Thus, to add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.

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Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equati
riadik2000 [5.3K]

Answer:

y = \frac{3}{2} x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - \frac{2}{3} (x + 5) ← is in point- slope form

with m = - \frac{2}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{2}{3} } = \frac{3}{2}

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = \frac{3}{2} x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = \frac{3}{2} x + 7 ← equation of line K

7 0
2 years ago
2/3x - 1/2y = 3
nevsk [136]
2/3x - 1/2y = 3    |multiply both sides by 6

4x - 3y = 18

1/2x + y = 5    |multiply both sides by 2

x + 2y = 10

Answer: 4x - 3y and x + 2y = 10.
7 0
3 years ago
Show the zero property of multiplication using the number 25
9966 [12]
Anything divided by 0 is 0 for example 25x0=0 12020202020x0=0
6 0
3 years ago
If 596 people voted in the election, how many were over 65 years old?
damaskus [11]

596 x 25% = 149

This implies 149 persons over the age of 65 voted.

I hope this helps.

4 0
2 years ago
Read 2 more answers
What is the length, in meters, of the ramp, line segment AC, below? Round to the nearest whole number if necessary.
Brrunno [24]

<em>10 meters.</em>

Step-by-step explanation:

To find the missing side of a right triangle, we can use the <u>Pythagorean theorem</u>.

The Pythagorean theorem is...

a^2+b^2=c^2

Please be sure to note that a and b will <em>always </em>be the length of the sides and c will <em>always </em>be the hypotenuse, or in this case the ramp.

Since we know the values of both of the sides we can plug this into the theorem.

6^2+8^2=c^2

Now we can solve.

36+64+c^2

Add.

100=c^2

Many people will make the mistake of thinking 100 is the final answer, but since c is squared we need to find the square root of 100.

\sqrt{100} =10

c = 10

<em><u>The ramp is 10 meters.</u></em>

6 0
3 years ago
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