Before we can calculate the value of \(\frac{7}{10}+\frac{7}{12}\), we must create a common denominator. The LCD of both the denominators is 60.
In this step, I will convert \(\frac{7}{10}\) to a fraction with a denominator of 60.
\(\frac{7}{10}\) | Multiply the numerator and denominator by 6/6. |
\(\frac{7}{10}*\frac{6}{6}\) | Notice that multiplying by 6/6 is actually multiplying by 1, which means that the value of the fraction remains unchanged. |
\(\frac{42}{60}\) | |
And now I will manipulate \(\frac{7}{12}\) as well.
\(\frac{7}{12}*\frac{5}{5}\) | Yet again, we multiply the fraction by 1. |
\(\frac{35}{60}\) | |
Since the denominators are the same in both fractions, now we can add them together.
\(\frac{42}{60}+\frac{35}{60}\) | Add the numerator and preserce the denominator. |
\(\frac{77}{60}=1\frac{17}{60}=1.28\overline{33}\) | |