Question

Plzz help Solve for x x ÷3 3/10 =2 2/5

Answer 1

`\huge\boxed{x=7(23)/(25)}`

Explanation:

`x/3(3)/(10)=2(2)/(5)\\\\\text{convert the mixed number to the impropper fraction}\\\\3(3)/(10)=(3\cdot10+3)/(10)=(33)/(10)\\\\2(2)/(5)=(2\cdot5+2)/(5)=(12)/(5)\\\\x/(33)/(10)=(12)/(5)\\\\x*(10)/(33)=(12)/(5)\qquad\text{multiply both sides by}\ (33)/(10)\\\\x*(10\!\!\!\!\!\diagup)/(33\!\!\!\!\!\diagup)*(33\!\!\!\!\!\diagup)/(10\!\!\!\!\!\diagup)=(12)/(5)*(33)/(10)\\\\x=(396)/(50)`

`x=(198)/(25)\\\\x=(175+23)/(25)\\\\x=(175)/(25)+(23)/(25)\\\\x=7(23)/(25)`