Solve the following exercise:
31−51=?
To solve the problem 31−51, we follow these steps:
First, we need to find a common denominator for the fractions 31 and 51. The denominators are 3 and 5, and their least common multiple (LCM) is 15.
We will convert each fraction to an equivalent fraction with the denominator 15:
- To convert 31 to a fraction with denominator 15, multiply both the numerator and the denominator by 5:
31=3×51×5=155
- To convert 51 to a fraction with denominator 15, multiply both the numerator and the denominator by 3:
51=5×31×3=153
Now that both fractions have the same denominator, we can subtract the numerators:
155−153=155−3=152
Therefore, the solution to the problem is 152.