Question

1 1/2 divided into 1 3/4

Answer 1

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

To divide those numbers you can write the mixed number as fractions:

1 and 1/2 is equal to (2/2+1/2)

`1(1)/(2)=(2)/(2)+(1)/(2)=(3)/(2)`

1 and 3/4 is equal to (4/4 + 3/4):

`1(3)/(4)=(4)/(4)+(3)/(4)=(7)/(4)`

Then, you have a division of fractions:

`((a)/(b))/((c)/(d))=(a\cdot d)/(b\cdot c)`
`((3)/(2))/((7)/(4))=(3\cdot4)/(2\cdot7)=(12)/(14)`

Simplify:

`(12)/(14)=(6)/(7)`Then, 1 1/2 divided into 1 3/4 is equal to 6/7