Question

write the answer as an improper fraction (if possible). reduce if possible. on saturday a restaurant used 4²⁄₆ cans of vegetables. on sunday they used another 9⁵⁄₇ cans. what is the total amount of vegetables they used?

Explanation:

Step1: Convert mixed numbers to improper fractions

For \(4\frac{2}{6}\), \(4\frac{2}{6}=\frac{4\times6 + 2}{6}=\frac{24+2}{6}=\frac{26}{6}=\frac{13}{3}\)
For \(9\frac{5}{7}\), \(9\frac{5}{7}=\frac{9\times7+5}{7}=\frac{63 + 5}{7}=\frac{68}{7}\)

Step2: Find a common denominator

The common denominator of 3 and 7 is \(3\times7 = 21\)
\(\frac{13}{3}=\frac{13\times7}{3\times7}=\frac{91}{21}\)
\(\frac{68}{7}=\frac{68\times3}{7\times3}=\frac{204}{21}\)

Step3: Add the fractions

\(\frac{91}{21}+\frac{204}{21}=\frac{91 + 204}{21}=\frac{295}{21}\)

Answer:

\(\frac{295}{21}\)