Solve the following exercise:
73+31=?
To solve the problem of adding the fractions 73 and 31, we follow these steps:
- Step 1: Find a common denominator for the fractions. The denominators are 7 and 3. By multiplying 7 and 3, we find the common denominator is 21.
- Step 2: Convert each fraction to an equivalent fraction with this common denominator.
- The first fraction: 73. We multiply both the numerator and the denominator by 3 (since 7×3=21):
7×33×3=219.
- The second fraction: 31. We multiply both the numerator and the denominator by 7 (since 3×7=21):
3×71×7=217.
- Step 3: Add the fractions. Now that both fractions have the same denominator, we can add them:
219+217=219+7=2116.
- Step 4: Simplify the resulting fraction if necessary. In this case, 2116 is already in its simplest form.
Therefore, the final solution to the problem is 2116.