Roadster's Paving Company used $10\frac{11}{12}$ tons of cement to pave Brittany's street and $5\frac{5}{12}$ tons of cement to pave Emmett's street. How much cement did Roadster's Paving Company use in all? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ tons

Full solution

Q. Roadster's Paving Company used

10\frac{11}{12}

tons of cement to pave Brittany's street and

5\frac{5}{12}

tons of cement to pave Emmett's street. How much cement did Roadster's Paving Company use in all?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

_____ tons

Convert to Improper Fractions: Step $1$ : Convert mixed numbers to improper fractions for easier addition. $\newline$ $10 \frac{11}{12} = (12\times10 + 11)/12 = \frac{131}{12}$ $\newline$ $5 \frac{5}{12} = (12\times5 + 5)/12 = \frac{65}{12}$
Add Improper Fractions: Step $2$ : Add the two improper fractions. $\frac{131}{12} + \frac{65}{12} = \frac{131 + 65}{12} = \frac{196}{12}$