Question

Who ran farther by the end of the week how much farther use the table below that shows the distances in miles

Answer 1

Yu ran farther by the end of the week.

Explanation:

Fraction addition

`\sf \text{Total distance ran by Holy= $1(1)/(2)+(1)/(2)+2(1)/(4)+(3)/(4)+1(1)/(2)$}`

Convert mixed fractions to improper fractions

`\sf =(3)/(2)+(1)/(2)+(9)/(4)+(3)/(4)+(3)/(2)\\\\ = (3)/(2)+(1)/(2)+(3)/(2)+(9)/(4)+(3)/(4)\\\\=(7)/(2)+(12)/(4)\\\\=(7*2)/(2*2)+(12)/(4)\\\\=(14)/(4)+(12)/(4)\\\\=(14+12)/(4)\\\\=(26)/(4)\\\\=(13)/(2)\\\\=6(1)/(2) \ miles`

`\sf \text{Distance travelled by Yu=1(3)/(4)+1(1)/(2)+2(3)/(4)+1(1)/(4)+(1)/(2)}`
`\sf \text{Distance traveled by Yu= $1(3)/(4)+1(1)/(2)+2(3)/(4)+1(1)/(4)+(1)/(2)$}`

`\sf = (7)/(4)+(3)/(2)+(11)/(4)+(5)/(4)+(1)/(2)\\\\ =((7+11+5))/(4)+(3+1)/(2)\\\\= (23)/(4)+(4)/(2)\\\\=(23)/(4)+(4*2)/(2*2)\\\\=(23)/(4)+(8)/(4)\\\\=(31)/(4)\\\\=7(3)/(4) \ miles`

Yu ran farther by the end of the week.