Answer:
1) [tex]\dfrac78[/tex]
2) [tex]\dfrac{17}{12} = 1 \frac{5}{12}[/tex]
3) [tex]\dfrac{53}{12}=4 \frac{5}{12}[/tex]
Step-by-step explanation:
1)
[tex]\dfrac38+\dfrac12=\dfrac38+\dfrac{1 \times4}{2 \times 4}=\dfrac38+\dfrac48=\dfrac78[/tex]
2)
[tex]\dfrac23+\dfrac34=\dfrac{2 \times 4}{3 \times 4}+\dfrac{3 \times3}{4 \times3}=\dfrac8{12}+\dfrac{9}{12}=\dfrac{17}{12}=1 \frac{5}{12}[/tex]
3)
First convert mixed number into improper fraction:
[tex]4 \frac23=\dfrac{3\times4+2}{3}=\dfrac{14}{3}[/tex]
[tex]\implies 4 \frac23-\dfrac{3}{12}=\dfrac{14}{3}-\dfrac{3}{12}=\dfrac{14\times4}{3\times4}-\dfrac{3}{12}=\dfrac{56}{12}-\dfrac{3}{12}=\dfrac{53}{12}=4 \frac{5}{12}[/tex]
