4 1/5 - 2 2/3 =

Rationale

4 1/5 - 2 2/3 = 1 1/2.

To solve the expression, first convert the mixed numbers to improper fractions: \(4 \frac{1}{5} = \frac{21}{5}\) and \(2 \frac{2}{3} = \frac{8}{3}\). Finding a common denominator, we can subtract the two fractions to arrive at the correct answer of \(1 \frac{1}{2}\).

A (2 {7/15}) YOUR ANSWER

This choice suggests a result that is too large for the subtraction calculation. When you convert \(2 \frac{7}{15}\) to an improper fraction, it equals \(\frac{37}{15}\), which does not match the expected outcome of \(1 \frac{1}{2}\) or \(\frac{15}{10}\).

B (1 { 8/15}) YOUR ANSWER

This option also does not align with the calculated difference. Converting \(1 \frac{8}{15}\) to an improper fraction gives \(\frac{23}{15}\), which is still higher than the result of \(1 \frac{1}{2}\).

C (2{1/2}) YOUR ANSWER

This choice indicates \(2 \frac{1}{2}\), which converts to \(\frac{5}{2}\) or \(2.5\). This value is greater than the expected answer, revealing an incorrect interpretation of the subtraction.

D (1{1/2}) CORRECT

This is the correct choice, as it represents \(1 \frac{1}{2}\), equal to \(\frac{3}{2}\). The calculations confirm this as the accurate result from the subtraction of \(4 \frac{1}{5}\) and \(2 \frac{2}{3}\).

Conclusion

The subtraction of \(4 \frac{1}{5}\) and \(2 \frac{2}{3}\) accurately simplifies to \(1 \frac{1}{2}\) through proper conversion and calculation. Each incorrect choice reflects either a miscalculation or misinterpretation of the values involved, while the correct answer, \(1 \frac{1}{2}\), aligns with the step-by-step arithmetic process.

4 1/5 - 2 2/3 =

4 1/5 - 2 2/3 = 1 1/2.

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