Fraction Operations and Conversions Quiz

Multiplication with Fractions

• The result of (3 \times \frac{1}{4}) is (\frac{3}{4}).
• To multiply a whole number by a fraction, multiply the whole number by the numerator and keep the denominator the same.

Solving for Unknowns

• If (\frac{2}{3}) of a number equals 24, then the number is calculated as follows:
  • Multiply both sides by (\frac{3}{2}) leading to (N = 24 \times \frac{3}{2} = 36).

Fractions as Percentages

• (\frac{5}{8}) expressed as a percentage is calculated by multiplying by 100:
  • (\frac{5}{8} \times 100 = 62.5%).

Equivalent Fractions

• (5 \times \frac{2}{3}) can be rewritten as (\frac{10}{3}) which is an equivalent expression.

Another Unknown Calculation

• If (\frac{3}{4}) of a quantity equals 36, find the quantity:
  • Multiply both sides by (\frac{4}{3}), leading to (Q = 36 \times \frac{4}{3} = 48).

More Multiplication with Fractions

• The result of (2 \times \frac{1}{3}) is (\frac{2}{3}).

Improper Fractions

• To express (1 \frac{1}{2}) as an improper fraction, convert:
  • (1 \frac{1}{2} = \frac{3}{2}).

Simplifying Fractions

• To express (4 \times \frac{2}{5}) in simplest form, calculate:
  • (4 \times \frac{2}{5} = \frac{8}{5}) which is already in simplest form.

Quantity from a Fraction

• If (\frac{3}{8}) of a quantity is 24, solve for that quantity:
  • Multiply by (\frac{8}{3}), resulting in (Q = 24 \times \frac{8}{3} = 64).