Question

Does 2 1/3-1 3/4 need require renaming

Answer 1

`(7)/(12)`

Explanation:

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

The fractions above are known as mixed numbers (that is, fractions that contain the combination of a whole number and proper fraction). The mixed numbers can equally be renamed as improper fractions. However, renaming can only occur the the mixed numbers are being transformed as below:

`(7)/(3) - (7)/(4)`

The transformation occur through a simple approach thus: for the first mixed number; 2 1/3 = 2 multiplied by 3 plus 1 divide by 3 equals 7/3. Similarly, mixed number 1 3/4 is transformed by this: 1 multiplied by 4 plus 3 divide by 4 equals 7/4.

Simplifying further to arrive at final result implies,

`(7)/(3) - (7)/(4)`

Take the LCM of the denominators (4 × 3 =12) and simplify thus:

`= (28 - 21)/(12)`

`= (7)/(12)`