![\huge\boxed{\sf{Hello\:there!}}](https://img.qammunity.org/2023/formulas/mathematics/college/62uc3x2x335uzpp1b7cxdvgvzro7j1hk8l.png)
How to Write the Word Sentence as an Equation?
That's easy!
Let's say the number is x.
x multiplied by
is
![\displaystyle(3)/(20)](https://img.qammunity.org/2023/formulas/mathematics/high-school/dnzvvwbr8tud7ldp4z77tct5k3xuhsn2t9.png)
![\displaystyle(2)/(5) x=(3)/(20)](https://img.qammunity.org/2023/formulas/mathematics/high-school/vvil2x7pyyxbn4slyx73dq761j5wqy3gd2.png)
Notice that we write the number before the variable.
Now, let's solve.
Step number 1:
Divide both sides by
.
Wait, how do we divide fractions?
We take the fraction that we divide by and flop it over.
Then, we multiply the first fraction times the one that we flopped over.
![\displaystyle(2)/(5) x=(3)/(20) \\x=\displaystyle(3)/(20) :(2)/(5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/gtv88auk5xqof0md9u0nkska9nuwyb1phg.png)
![x=\displaystyle(3)/(20)*(5)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/sxr53r0kii3kgvepksidhhgk20jp5aertj.png)
Now, all we have to do is multiply 3 by 5 and 20 by 2:
![x=\displaystyle(15)/(40)](https://img.qammunity.org/2023/formulas/mathematics/high-school/2u2nz5y7vwtgj25pg953el2cjqxrxe7l3v.png)
Simplify by dividing the numerator and the denominator by 5:
![\displaystyle(3)/(8)](https://img.qammunity.org/2023/formulas/mathematics/high-school/1k3c9jpjb3a9v53u8vjyhydiac9u2er0vb.png)
![\huge\boxed{\sf{Answer:{\boxed{\bf{(3)/(8) }}}}}]](https://img.qammunity.org/2023/formulas/mathematics/high-school/5gtu3xkksiji8d4c0d805b48tn85dttct5.png)
Hope it helps! Enjoy your day!
Feel free to ask if you have any doubts.
The crown would be greatly appreciated ;)
~Just a determined gal
![\bf{erutaNtneliS](https://img.qammunity.org/2023/formulas/mathematics/high-school/ppsi76fc0h2kae86x0i6uzt3q3xyl48p91.png)