#### Answer

estimated 36 grams
exact : 30$\frac{5}{8}$ grams

#### Work Step by Step

Step 1: Read the problem. The problem asks for the grams that can be synthesized in 12$\frac{1}{4}$ days
Step 2 Work out a plan. Multiply the 2$\frac{1}{2}$ grams per day and grams can be synthesized in 12$\frac{1}{4}$ days.
Step 3 Estimate a reasonable answer. Round 2$\frac{1}{2}$ grams to 3 grams and 12$\frac{1}{4}$ days to 12 days Multiply 3 grams by 12 days = 36 grams.
Step 4 Solve the problem. Find the exact answer
2$\frac{1}{2}$ * 12$\frac{1}{4}$
Convert mixed fractions into improper fractions
$\frac{5}{2}$ * $\frac{49}{4}$ = $\frac{245}{8}$ = 30$\frac{5}{8}$ grams
Step 5 State the answer. 30$\frac{5}{8}$ grams can be synthesized in 12$\frac{1}{4}$ days
Step 6 Check. The exact answer, 30$\frac{5}{8}$ grams , is close to our estimate of 36 grams.