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(3)/(4)+5(1)/(2)+4(2)/(3)`


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


`(3)/(4)=(3\cdot3)/(4\cdot3)=(9)/(12)\\\\(1)/(2)=(1\cdot6)/(2\cdot6)=(6)/(12)\\\\(2)/(3)=(2\cdot4)/(3\cdot4)=(8)/(12)`


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


`Answer:\ 12(11)/(12)\ miles\ \text{therefore the total number of miles}\\\text{he walked during the three days is 12miles}`