Hassan's Road Paving Company mixed $7\frac{7}{10}$ tons of cement. They used $2\frac{9}{10}$ tons of the cement to pave a street downtown. How much cement did they have left? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ tons

Full solution

Q. Hassan's Road Paving Company mixed

7\frac{7}{10}

tons of cement. They used

2\frac{9}{10}

tons of the cement to pave a street downtown. How much cement did they have left?

\newline

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

\newline

_____ tons

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier calculation. $\newline$ $7 \frac{7}{10} = (7\times10 + 7)/10 = \frac{77}{10}$ $\newline$ $2 \frac{9}{10} = (2\times10 + 9)/10 = \frac{29}{10}$
Subtract to Find Remaining: Subtract the amount of cement used from the total amount mixed to find the remaining cement. $\newline$ $\frac{77}{10} - \frac{29}{10} = \frac{48}{10}$
Simplify Fraction: Simplify the fraction to find the remaining cement in a more understandable form. $\frac{48}{10} = 4 \frac{8}{10} = 4 \frac{4}{5}$