Civil Service Mathematics Reviewer Topic B: Fractions & Decimals

A collection of flashcards focused on arithmetic operations and conversions involving fractions, decimals, and percentages based on the Civil Service Mathematics reviewer.

$$\frac{1}{2} + \frac{1}{4}$$

$\frac{3}{4}$ (Find a common denominator of $4$: $\frac{2}{4} + \frac{1}{4} = \frac{3}{4}$)

$$\frac{3}{4} - \frac{1}{8}$$

$\frac{5}{8}$ (Convert to common denominator: $\frac{6}{8} - \frac{1}{8} = \frac{5}{8}$)

$$\frac{2}{3} \times 9$$

$6$ (Calculated as $\frac{2 \times 9}{3} = 6$)

$$\frac{5}{6} \div \frac{1}{2}$$

$\frac{5}{3}$ (Multiply by the reciprocal: $\frac{5}{6} \times 2 = \frac{10}{6} = \frac{5}{3}$)

$0.75$ converted to a fraction

$\frac{3}{4}$ ($\frac{75}{100}$ simplifies to $\frac{3}{4}$)

$\frac{3}{5}$ converted to a decimal

$0.6$ (Calculated as $3 \div 5 = 0.6$)

$$2.35 + 1.8$$

$4.15$ (Calculated as $2.35 + 1.80 = 4.15$)

$$7.2 - 3.85$$

$3.35$ (Calculated as $7.20 - 3.85 = 3.35$)

$125\%$ expressed as a decimal

$1.25$ ($125\% = \frac{125}{100} = 1.25$)

Fraction equivalent to $0.2$

$\frac{1}{5}$ ($0.2 = \frac{2}{10} = \frac{1}{5}$)