Answer:
see explanation
Step-by-step explanation:
(a)
To change a mixed number to an improper fraction
Multiply the whole number by the denominator of the fraction and add the numerator. This value is the numerator of the improper fraction while the denominator remains unchanged, that is
(2 × 13) + 12 = 26 + 12 = 38 ← numerator
2 [tex]\frac{12}{13}[/tex] = [tex]\frac{38}{13}[/tex]
(b)
To change an improper fraction to a mixed number
divide the numerator by the denominator, noting the remainder, which forms the numerator of the fraction in the mixed number.
[tex]\frac{47}{19}[/tex] = 2 remainder 9, hence
[tex]\frac{47}{19}[/tex] = 2 [tex]\frac{9}{19}[/tex]
