What is 46 over 63 - 3 over 11?

Answer 1

To calculate this sort of subtraction problem the two fractions have to be converted so that they share the same denominator - the number below the line.

This is done by calculating the lowest common denominator they share. As 11 is a prime and 63 is not a multiple of it, then the lowest common denominator will be 63 x 11 = 693.

* To convert the 46/63 to a fraction with 693 as its denominator we need to multiply both the numerator and the denominator by 11. This gives 506/693. * To convert the 3/11 to a fraction with 693 as its denominator we need to multiply both the numerator and the denominator by 63. This gives 189/693.

Now we can subtract 189 from 506. That gives 317.

* 317/693

As 317 is a prime, and 693 is not a multiple of it, that fraction can not be simplified.