Convert your whole number into a fraction. To do this, simply add a denominator of 1 {\displaystyle 1} 1to your whole number. For example, 2 + 3 4 {\displaystyle 2+{\frac {3}{4}}} {\displaystyle 2+{\frac {3}{4}}}. This will now become 2 1 + 3 4 {\displaystyle {\frac {2}{1}}+{\frac {3}{4}}} {\displaystyle {\frac {2}{1}}+{\frac {3}{4}}}.
Multiply your fractions to have the same denominator. Look at the original fraction in your problem, and use its denominator to multiply with your other fraction. For example, we have 2 1 + 3 4 {\displaystyle {\frac {2}{1}}+{\frac {3}{4}}} {\displaystyle {\frac {2}{1}}+{\frac {3}{4}}}. The original fraction was 3 4 {\displaystyle {\frac {3}{4}}} {\displaystyle \frac{3}{4}}, so we have a denominator of 4 {\displaystyle 4} 4. Multiply the numerator and denominator of 2 1 ∗ 4 {\displaystyle {\frac {2}{1}}*4} {\displaystyle {\frac {2}{1}}*4}. Doing this, you will get 8 4 {\displaystyle {\frac {8}{4}}} {\displaystyle {\frac {8}{4}}}.
Add both fractions. Now that you've got two fractions of the same denominator, add both fractions' numerators, leaving the denominator as it is. For example, we have 8 4 + 3 4 {\displaystyle {\frac {8}{4}}+{\frac {3}{4}}} {\displaystyle {\frac {8}{4}}+{\frac {3}{4}}}. Adding these, we will get 11 4 {\displaystyle {\frac {11}{4}}} {\displaystyle {\frac {11}{4}}}.
Simplify your fraction. Convert your improper fraction to a mixed fraction. Doing this can get you either a mixed fraction, or a whole number. both would be correct depending on the numerator and denominator divisibility. For example, our final answer was 11 4 {\displaystyle {\frac {11}{4}}} {\displaystyle {\frac {11}{4}}}. Dividing the numerator by the denominator, we will get 2 {\displaystyle 2} {\displaystyle 2} and the remainder of 3 {\displaystyle 3} 3. Your whole number stands alone, while your remainder will be put into the fraction replacing your old numerator. So the answer is now 2 3 4 {\displaystyle 2{\frac {3}{4}}} {\displaystyle 2{\frac {3}{4}}}.
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