Which expression is equivalent to [tex]\frac{1}{3} -(-4+ \frac{3}{5} ) ?[/tex]

Solving the expression [tex]\frac{1}{3}-(-4+\frac{3}{5})[/tex] we get [tex]\frac{56}{15}[/tex]Step-by-step explanation:Solve the expression: [tex]\frac{1}{3}-(-4+\frac{3}{5})[/tex]First we will solve the terms inside the round brackets[tex]\frac{1}{3}-(-4+\frac{3}{5})\\Taking\,\,LCM\,\,of\,\,1\,\,and\,\,5\,\,i.e\,\,5\\=\frac{1}{3}-(\frac{-4*5+3}{5})\\=\frac{1}{3}-(\frac{-20+3}{5})\\=\frac{1}{3}-(\frac{-17}{5})\\[/tex]Now opening the bracket (-)(-)=+[tex]=\frac{1}{3}+\frac{17}{5}\\Taking\,\,LCM\,\,of\,\,5\,\,and\,\,i.e\,\,15\\=\frac{1*5+17*3}{15}\\=\frac{5+51}{15}\\=\frac{56}{15}[/tex]So, solving the expression [tex]\frac{1}{3}-(-4+\frac{3}{5})[/tex] we get [tex]\frac{56}{15}[/tex]Keywords: Solving FractionsLearn more about Solving Fractions at:brainly.com/question/2456302 brainly.com/question/1648978 brainly.com/question/13168205#learnwithBrainly