Question

What number should I multiply 1 1/4 by to get 7/12

Answer 1

1 and 1/4 is the same as 5/4 so essentially we are asking what do we multiple 5/4 by to get 7/12. Try to keep things as fractions initially to see if there is a fractional answer with whole numbers.

Let x represent the number:
x . 5/4 = 7/12
i.e. 5x/4 = 7/12
We want to get x on it's own so multiply both sides of equation by 4
5x = 4 . (7/12) = 28/12
now divide both sides by 5 to get x on its own
x = (28/12) / 5
This does not equate to a whole number fraction as 28 and 12 are not divisible by 5. So simply convert to decimal
x = 2.3333 / 5 = 0.46666

Answer 2

Let's take our given information and transform it into numbers. We will let x equal the "mystery" number we need to find. Here is our equation:

`1 (1)/(4) x= (7)/(12)`
Now, all we need to do is convert the mixed fraction into an improper fraction:

`(5)/(4) x= (7)/(12)`
Now, just multiply the reciprocal of 5/4 with 7/12, giving us:

`x=(4)/(5)* (7)/(12)`
Finally, just straight up multiply to get an answer of x = 28/60, which can be simplified down to x = 7/15. Therefore, the number you have to multiply 1 1/4 to get 7/12 is 7/15. Hope this helped!