Jonathan is making his favorite pasta dish. He serves his mom 1/12 of the pot of pasta and his brother 1/6 of the pot. How much of the pot is left over?
Answer: \(\frac{1}{4}\) of the pot is left.
Step-by-step explanation:
Let x be the total amount of pasta in the pot .
Then the amount of pasta her mother got= \(\frac{1}{12}x\)
The amount of pasta her brother got= \(\frac{1}{6}x\)
The total amount of pasta he serve= \(\frac{1}{12}x+\frac{1}{6}x\)
First convert them in like fractions,then
The total amount of pasta he serve=\(\frac{1}{12}x+\frac{2}{12}x=\frac{x+2x}{12}=\frac{3x}{12}=\frac{1}{4}x\)
Hence, \(\frac{1}{4}\) of the pot is left over.