Answer:
adding [tex]\frac{3}{5}[/tex] in the blank space makes the equation true.
Step-by-step explanation:
i) [tex]\dfrac{7}{20}[/tex] + [tex]\dfrac{3}{5}[/tex] = [tex]\dfrac{7}{20}[/tex] + [tex]\dfrac{12}{20}[/tex] = [tex]\dfrac{7 + 12}{20}[/tex] = [tex]\dfrac{19}{20}[/tex]
ii) From the above equation we see that adding [tex]\dfrac{3}{5}[/tex] in the blank space makes the equation true.
iii) first the fraction of [tex]\dfrac{3}{5}[/tex] is multiplied by 4 on top and bottom which gives us the value of [tex]\dfrac{12}{20}[/tex] which now has the same denominator as [tex]\dfrac{7}{20}[/tex] and so the numerator of the two fractions can be added which gives the result [tex]\dfrac{19}{20}[/tex] which makes the equation true.
