Answer:
The equation becomes
[tex]1\frac{7}{19}=a\frac{b}{c}[/tex]
Therefore,
Hence, option (C) is true.
Step-by-step explanation:
Given the expression
[tex]3\frac{1}{4}\div 2\frac{3}{8}\:=a\frac{b}{c}[/tex]
Solving the L.H.S of the equation
[tex]3\frac{1}{4}\div \:2\frac{3}{8}=\frac{13}{4}\div \:2\frac{3}{8}[/tex]
[tex]=\frac{13}{4}\times \frac{8}{19}[/tex]
[tex]=\frac{13\times \:2}{1\times \:19}[/tex]
[tex]=\frac{26}{1\times \:19}[/tex]
[tex]=\frac{26}{19}[/tex]
Converting improper fraction to a fixed number: [tex]\frac{26}{19}=1\frac{7}{19}[/tex]
[tex]=1\frac{7}{19}[/tex]
Thus, the equation becomes
[tex]1\frac{7}{19}=a\frac{b}{c}[/tex]
Therefore,
Hence, option (C) is true.
