2/13 cannot be written as an improper fraction since [the absolute value of] its numerator is less than [the absolute value of] its denominator. It will remain a proper fraction.
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If you mean 4 and 2/3 then it is 14/3 as an improper fraction
It is 13/2 as an improper fraction in its lowest terms
2 3/5:= [(5*2)+3]/5= [10+3]/5= 13/5 in improper fraction
Say we had 2 ½, so we would work it out like 4⁄4,+ 4⁄4 + ¼ = 9⁄4. The 9⁄4 is the improper fraction.
2 1/7 to an improper fraction = 15/72 1/7:= [(7 * 2)+1]/7= [14+1]/7= 15/7 in improper fraction