Answer:
[tex] \frac{7}{12} [/tex]
Step-by-step explanation:
[tex]2 \frac{1}{3} - 1 \frac{3}{4} [/tex]
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:
[tex] \frac{7}{3} - \frac{7}{4}[/tex]
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,
[tex] \frac{7}{3} - \frac{7}{4} [/tex]
Take the LCM of the denominators (4 × 3 =12) and simplify thus:
[tex] = \frac{28 - 21}{12} [/tex]
[tex] = \frac{7}{12} [/tex]
