Fractions, Decimals, and Percentage

To determine which fraction is not equivalent to \( \frac{1}{2} \), we compare each option by simplifying or converting them to have a common denominator.

\( \frac{3}{4} \) does not simplify to \( \frac{1}{2} \).

Adding \( \frac{3}{4} \) and \( \frac{1}{4} \) gives \( \frac{4}{4} \), which simplifies to 1.

To convert \( \frac{3}{5} \) to a decimal, divide 3 by 5, which results in 0.6.

Subtracting \( \frac{1}{4} \) from \( \frac{7}{8} \) involves finding a common denominator.

\( \frac{7}{8} - \frac{2}{8} = \frac{5}{8} \).

To simplify \( \frac{10}{15} \), divide both the numerator and the denominator by their greatest common divisor, which is 5.

This results in \( \frac{2}{3} \).

Multiplying \( \frac{2}{3} \) by \( \frac{3}{4} \) involves multiplying the numerators and denominators.

\( \frac{2 \times 3}{3 \times 4} = \frac{6}{12} \), which simplifies to \( \frac{1}{2} \).

To convert \( \frac{1}{5} \) to a percentage, multiply by 100.

\( \frac{1}{5} \times 100 = 20\% \).

An improper fraction has a numerator greater than or equal to its denominator.

\( \frac{9}{4} \) is an improper fraction.

The reciprocal of a fraction \( \frac{a}{b} \) is \( \frac{b}{a} \).

Thus, the reciprocal of \( \frac{4}{5} \) is \( \frac{5}{4} \).

To convert 0.75 to a fraction, recognize it as \( \frac{75}{100} \) and simplify by dividing both the numerator and the denominator by 25, resulting in \( \frac{3}{4} \).

Multiplying \( \frac{1}{2} \) by \( \frac{2}{3} \) involves multiplying the numerators and denominators.

\( \frac{1 \times 2}{2 \times 3} = \frac{2}{6} \), which simplifies to \( \frac{1}{3} \).

Dividing \( \frac{3}{5} \) by \( \frac{1}{2} \) is the same as multiplying \( \frac{3}{5} \) by the reciprocal of \( \frac{1}{2} \), which is \( \frac{2}{1} \).

Thus, \( \frac{3}{5} \times \frac{2}{1} = \frac{6}{5} \).

To convert \( \frac{3}{4} \) to a decimal, divide 3 by 4, which results in 0.75.

To convert 0.25 to a fraction, recognize it as \( \frac{25}{100} \) and simplify by dividing both the numerator and the denominator by 25, resulting in \( \frac{1}{4} \).

Adding 0.6 and 0.4 results in 1.0.

To convert \( \frac{7}{10} \) to a decimal, divide 7 by 10, which results in 0.7.

Multiplying 1.5 by 2 results in 3.0.

Subtracting 0.3 from 0.9 results in 0.6.

To convert \( \frac{1}{5} \) to a decimal, divide 1 by 5, which results in 0.2.

Dividing 0.75 by 3 results in 0.25.

To convert 0.5 to a percentage, multiply by 100.

\( 0.5 \times 100 = 50\% \).

To convert 0.33 to a fraction, recognize it as \( \frac{33}{100} \).

Multiplying 0.08 by 10 results in 0.8.

To convert 0.6 to a fraction, recognize it as \( \frac{6}{10} \) and simplify by dividing both the numerator and the denominator by 2, resulting in \( \frac{3}{5} \).

To convert \( \frac{4}{5} \) to a decimal, divide 4 by 5, which results in 0.8.

To find 25% of 200, convert 25% to a decimal (0.25) and multiply by 200.

\( 0.25 \times 200 = 50 \).

To convert 0.75 to a percentage, multiply by 100.

\( 0.75 \times 100 = 75\% \).

To convert 45% to a decimal, divide by 100.

\( 45 \div 100 = 0.45 \).

To find 20% of 80, convert 20% to a decimal (0.20) and multiply by 80.

\( 0.20 \times 80 = 16 \).

To find what percentage 30 is of 150, divide 30 by 150 and multiply by 100.

\( \frac{30}{150} \times 100 = 20\% \).

To convert 0.2 to a percentage, multiply by 100.

\( 0.2 \times 100 = 20\% \).

To find what percentage 45 is of 90, divide 45 by 90 and multiply by 100.

\( \frac{45}{90} \times 100 = 50\% \).

To find 1% of 1,000, convert 1% to a decimal (0.01) and multiply by 1,000.

\( 0.01 \times 1000 = 10 \).

To convert 0.03 to a percentage, multiply by 100.

\( 0.03 \times 100 = 3\% \).

To find 15% of 80, convert 15% to a decimal (0.15) and multiply by 80.

\( 0.15 \times 80 = 12 \).