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4vir4ik [10]
2 years ago
13

2 3/4 - 1 1/8=?

Mathematics
2 answers:
Dafna1 [17]2 years ago
8 0

Answer:

Read Below

Step-by-step explanation:

I'll give you the answers if you want but I'm going to explain how you can do this if you want to work it out yourself. First question we can since 1/8 would convert down 0.5/4 well covert it to 8ths. To do this we can use a proportion with the numbers as shown below

11 x

---- -

4. 8

You should get 22/8 and than can subtract 22/8 from 9/8 (1 1/8) to get 13/8 or 1 5/8 your answer.

For the second problem you can use the same proportion except changing it to 5ths where you will subtract 45/5 from 17/5 to get 28/5 aka 5 3/5.

This should help with most and there is a website called hackmath that why it is a silver it has good explanations.

Airida [17]2 years ago
3 0
Basically you need to make the denominator (whats on the bottom) the same, lets take the first one for example


2 3/4, lets put this all over 4 for the same denominator.

2=8/4, and then add this to 3/4 to get 11/4.

the second part will work the same way,

start by making 1 into 8/8. add this to 1/8 to get 9/8


now we have to add 11/4 and 9/8. to do this, you have to find the smallest multiple between the two (for example: between 6 and 4 it would be 12, since 4*3= 12, and 2*6=12)

now, the smallest common multiple between 4 and 8 would just be 8


11/4= 22/8, since you multiply the bottom and top by the same amount so it still equals 11/4, but your denominator will now be 8.


now you can subtract. 22/8- 9/8= 13/8


final answer: 13/8


try the rest yourself since this is important for later math, hoped this helped :)


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How do you simplify this?<br>x²y+xy² / y²+2/5 × xy​​​
polet [3.4K]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • How do you simplify this?
  • x²y+xy² / y²+2/5 × xy

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

\sf\frac{  { x  }^{ 2  }  y+x { y  }^{ 2  }    }{  { y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy  } \\

Factor the expressions that are not already factored.

_____

<u>How </u><u>to</u><u> factorise</u><u> </u><u>:</u><u>-</u>

<u>NUMERATOR</u> \downarrow

\sf \: x ^ { 2 } y + x y ^ { 2 }

Factor out xy.

\sf \: xy\left(x+y\right)

<u>DENOMINATOR</u> \downarrow

\sf{ y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy \\

Factor out 1/5.

\sf \: {\frac{1}{5}y\left(2x+5y\right)}  \\

_____

Continuing...

\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)}  \\

Cancel out y in both the numerator and denominator.

\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)}  \\

Expand the expression.

\sf\frac{x^{2}+xy}{\frac{2}{5}x+y}  \\

This can further simplified to as \downarrow

=    \boxed{\boxed{\bf\frac{5x\left(x  +y\right)}{2x+5y}}}

3 0
2 years ago
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