Question

Jonathan walked 2 3/4 miles on Friday, 5 1/2 on Saturday and 4 2/3 on Sunday. What was the total number of miles he walked during the three days ?

Answer 1

$2\dfrac{3}{4}+5\dfrac{1}{2}+4\dfrac{2}{3}$

$\text{find common denominator}\\\\4, 2\ and\ 3\\\text{common denominator is equal 12}$

$\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\\dfrac{1}{2}=\dfrac{1\cdot6}{2\cdot6}=\dfrac{6}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}$

$\text{we have}\\\\2\dfrac{2}{4}+5\dfrac{1}{2}+4\dfrac{2}{3}=2\dfrac{9}{12}+5\dfrac{6}{12}+4\dfrac{8}{12}\\\\=(2+5+4)+\dfrac{9+6+8}{12}=11\dfrac{23}{12}=12\dfrac{11}{12}$

$Answer:\ 12\dfrac{11}{12}\ miles\ \text{therefore the total number of miles}\\\text{he walked during the three days is 12miles}$