How do you evaluate 12\frac { 1} { 4} \div 3\frac { 1} { 2} ?

2 Answers
Aug 13, 2017

See the Explanation

Explanation:

12 1/4 -: 3 1/2

a b/c=>(a*c+b)/c. Apply this formula,

=>12 1/4=>(12*4+1)/4=>(48+1)/2=>49/4

=>3 1/2=>(3*2+1)/2=>(6+1)/2=>7/2

Now Divide these,

=>49/4-:7/2

a/b-:c/d=>a/b*d/c=>(a*d)/(b*c). Apply this formula,

=>49/4-:7/2=>49/4*2/7=>(49*2)/(4*7)=>(49*2)/(2*2*7)=>(49*cancelcolor(red)2)/(cancelcolor(red)2*2*7)

=>49/(2*7)=>49/14

The answer is 49/14.

Aug 13, 2017

12 1/4 div 3 1/2 =color(red)(3 1/2)

Explanation:

12 1/4 =12 +1/4

color(white)("XXX")=48/4+1/4

color(white)("XXX")=49/4

3 1/2 = 3 + 1/2

color(white)("XXX")=6/2 + 1/2

color(white)("XXX")=7/2

Therefore
12 1/4 div 3 1/2

color(white)("XXX")=49/4 div 7/2

and since division is the reciprocal of multiplication
color(white)("XXX")=49/4 xx2/7

color(white)("XXX")=(color(green)(cancel(49)^7))/(color(blue)(cancel(4)_2))xxcolor(blue)(cancel(2))/(color(green)(cancel(7)))

color(white)("XXX")=7/2

color(white)("XXX")=3 1/2