Answer
(a) Estimate 3 cups
Exact $1 \frac{7}{8}$ cups
(b) Estimate 3 tsp
Exact $1 \frac{1}{4}$ tsp
(c) Estimate 6 cups
Exact $4 \frac{3}{8}$ cups
Work Step by Step
(a) $\frac{3}{4} \times 2 \frac{1}{2}$ cups
Estimate
Round fractions to the nearest whole number
$1 \times 3 = 3$ cups
Exact
Convert mixed numbers to improper fractions and multiply
$\frac{3}{4} \times \frac{5}{2}$ = $\frac{15}{8}$
Convert improper fractions to mixed numbers
$\frac{15}{8}$ = $1 \frac{7}{8}$ cups
(b) $\frac{1}{2} \times 2 \frac{1}{2}$ tsp
Estimate
Round fractions to the nearest whole number
$1 \times 3 = 3$ tsp
Exact
Convert mixed numbers to improper fractions and multiply
$\frac{1}{2} \times \frac{5}{2}$ = $\frac{5}{4}$
Convert improper fractions to mixed numbers
$\frac{5}{4}$ = $1 \frac{1}{4}$ tsp
(c) $1 \frac{3}{4} \times 2 \frac{1}{2}$ cups
Estimate
Round fractions to the nearest whole number
$2 \times 3 = 6$ cups
Exact
Convert mixed numbers to improper fractions and multiply
$\frac{7}{4} \times \frac{5}{2}$ = $\frac{35}{8}$
Convert improper fractions to mixed numbers
$\frac{35}{8}$ = $4 \frac{3}{8}$ cups
