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2 years ago

Use a common denominator to find negative 2/3 plus negative 4/5

Mathematics

2 answers:

leonid [27]2 years ago

5 0

-10/15 + -12/15 = -1 6/15. -2/3 becomes -10/15 when multiplied by 5. -4/5 becomes -12/15 when multiplied by 3.

SIZIF [17.4K]2 years ago

4 0

answer:

$\frac{22}{15}$ or 1 $\frac{7}{15}$

step-by-step explanation:

a common denominator between 3 and 5 is 15

first to get our denominator in the fraction $\frac{2}{3}$ to 15 we need to multiply by 5 so 2 × 5 = 10 and 3 × 5 = 15

this makes our new fraction $\frac{10}{15}$

now we need to get our denominator in the fraction $\frac{4}{5}$ to 15 so we need to multiply by 3 so 4 × 3 = 12 and 5 × 3 = 12

this makes our new fraction $\frac{12}{15}$

our new equation with common denominators is now $\frac{10}{15}$ + $\frac{12}{15}$ = coming out to be $\frac{22}{15}$

to make this into a mixed fraction we know 22 only goes into 15 once with 7 left over so our mixed fraction is 1 $\frac{7}{15}$

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Kamal wrote the augmented matrix below to represent a system of equations

Alina [70]

Consider the operation is $R_2\to -3R_2$ .

Given:

The augmented matrix below represents a system of equations.

$\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]$

To find:

Matrix results from the operation $R_2\to -3R_2$ .

Step-by-step explanation:

We have,

$\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right]$

After applying $R_2\to -3R_2$ , we get

$\left[\left.\begin{matrix}1&0&1\\-3(1)&-3(3)&-3(-1)\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-3(-9)\\-2\end{matrix}\right]$

$\left[\left.\begin{matrix}1&0&1\\-3&-9&3\\3&2&0\end{matrix}\right|\begin{matrix}-1\\27\\-2\end{matrix}\right]$

Therefore, the correct option is A.

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3 years ago

There are bytes in a gigabyte. There are bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte fla

evablogger [386]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers

Beth filled 32 jars with paint. If each jar holds 1 pint of paint. How many gallons of paint did beth use

MAVERICK [17]

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2 years ago

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Sunny_sXe [5.5K]

Answer:

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Step-by-step explanation:

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Hope this helped! :)

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3 years ago

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Mkey [24]

Answer:

The number lines are shown below.

Step-by-step explanation:

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