Answer:
First option
Step-by-step explanation:
Given the following equation:
[tex]\frac{1}{4} \times(\frac{3}{9} +5)[/tex]
In order to find the answer, we solve the equation in between the parenthesis according to order of operations and then multiply that answer by 1/4.
[tex]\frac{1}{4} \times(\frac{3}{9} +5)[/tex]
[tex]5=\frac{5}{1}[/tex]
[tex]\frac{3}{9} +\frac{5}{1}[/tex]
[tex]3\times1=3[/tex]
[tex]9\times1=9[/tex]
[tex]5\times9=45[/tex]
[tex]1\times9=9[/tex]
[tex]\frac{3}{9} +\frac{45}{9}[/tex]
[tex]3+45=48=\frac{48}{9}[/tex]
[tex]\frac{48}{9} \div3=\frac{16}{3}[/tex]
[tex]\frac{1}{4} \times\frac{16}{3}[/tex]
[tex]1\times16=16[/tex]
[tex]4\times3=12[/tex]
[tex]\frac{16}{12} \div2=\frac{8}{6} \div2=\frac{4}{3}[/tex]
[tex]\frac{4}{3} =4\div3=1\frac{1}{3}[/tex]
[tex]=1\frac{1}{3}[/tex]
Hope this helps.
