- First expression: $\frac{3\frac{1}{2} \times 1\frac{2}{3}}{4\frac{1}{5}}$
- Convert mixed numbers to improper fractions:
- $3\frac{1}{2} = \frac{7}{2}$
- $1\frac{2}{3} = \frac{5}{3}$
- $4\frac{1}{5} = \frac{21}{5}$
- Multiply the numerators: $\frac{7}{2} \times \frac{5}{3} = \frac{35}{6}$
- Divide by the denominator: $\frac{35}{6} \div \frac{21}{5} = \frac{35}{6} \times \frac{5}{21} = \frac{175}{126}$
- Simplify the fraction: $\frac{175}{126} = \frac{25}{18}$ (dividing numerator and denominator by 7)
- Final answer: $\frac{25}{18}$ or $1\frac{7}{18}$
- Second expression: $\frac{2\frac{1}{4} \times \frac{4}{5}}{\frac{3}{5} - \frac{1}{2}}$
- Convert mixed number to improper fraction: $2\frac{1}{4} = \frac{9}{4}$
- Multiply numerators: $\frac{9}{4} \times \frac{4}{5} = \frac{36}{20} = \frac{9}{5}$
- Calculate denominator: $\frac{3}{5} - \frac{1}{2} = \frac{6}{10} - \frac{5}{10} = \frac{1}{10}$
- Divide: $\frac{9}{5} \div \frac{1}{10} = \frac{9}{5} \times \frac{10}{1} = \frac{90}{5} = 18$
- Final answer: $18$
- Third expression: $18.75 - (2.11)^2$
- Calculate square: $(2.11)^2 = 4.4521$
- Subtract: $18.75 - 4.4521 = 14.2979$
- a. Exactly: $14.2979$
- b. To two decimal places: $14.30$
- c. To 3 significant figures: $14.3$
- d. In standard form: $1.43 \times 10^1$
Parent Tip: Review the logic above to help your child master the concept of computation worksheet.
