please help i have no clue how to do this

[trelanealoftus]

Perform the indicated operation and, if possible, simplify. Please show all of your work.-7/-12*4*16/35

 

[pka]

Perform the indicated operation and, if possible, simplify. Please show all of your work.-7/-12*4*16/35

Is the problem \(\displaystyle \dfrac{-7}{-12}\cdot 4\cdot\dfrac{16}{35}~?\)

 

[trelanealoftus]

Is the problem \(\displaystyle \dfrac{-7}{-12}\cdot 4\cdot\dfrac{16}{35}~?\)

yes it is i dont know how to write it like that on a computer

 

[pka]

yes it is i dont know how to write it like that on a computer

You can learn a little LaTeX code.
[TEX]\dfrac{-7}{-12}\cdot 4\cdot\dfrac{16}{35}~?[/TEX] gives \(\displaystyle \dfrac{-7}{-12}\cdot 4\cdot\dfrac{16}{35}~?\)

Now \(\displaystyle \dfrac{-a}{-b}=\dfrac{a}{b}\)
You can divide 4 into 12 and 7 into 35. Then proceed.

 

[soroban]

Hello, trelanealoftus!

\(\displaystyle \text{Perform the indicated operation and, if possible, simplify: }\:\dfrac{-7}{-12}\cdot 4 \cdot\dfrac{16}{35}\)

You've never multiplied fractions . . . ever?


\(\displaystyle \dfrac{-7}{-12}\cdot \dfrac{4}{1} \cdot\dfrac{16}{35} \;=\; \dfrac{7}{12}\cdot\dfrac{4}{1}\cdot\dfrac{16}{35} \quad\text{ (Negative divided by negative equals positive)}\)

. . . . . . . . . . \(\displaystyle =\;\dfrac{7\cdot4\cdot16}{12\cdot1\cdot35} \quad\; \begin{pmatrix}\text{Multiply numerators} \\ \text{Multiply denominators}\end{pmatrix} \)

. . . . . . . . . . \(\displaystyle =\;\dfrac{\rlap{/}7^{^1}\cdot4\cdot\rlap{//}16^{^4}}{\rlap{//}12_{_3}\cdot1\cdot\rlap{//}35_{_5}} \quad\text{(Reduce)}\)

. . . . . . . . . . \(\displaystyle =\;\;\dfrac{16}{15}\)