What is the result when you divide 2/7 by 1.5?

To find the result of dividing the fraction ( \frac{2}{7} ) by the decimal ( 1.5 ), it can be helpful first to convert the decimal into a fraction. The decimal ( 1.5 ) can be expressed as ( \frac{3}{2} ).

When dividing by a fraction, it is equivalent to multiplying by its reciprocal. Therefore, the division of ( \frac{2}{7} ) by ( \frac{3}{2} ) can be rewritten as:

[

\frac{2}{7} \div \frac{3}{2} = \frac{2}{7} \times \frac{2}{3}

]

Now, performing this multiplication yields:

[

\frac{2 \times 2}{7 \times 3} = \frac{4}{21}

]

Thus, the correctly simplified answer to ( \frac{2}{7} ) divided by ( 1.5 ) is indeed ( \frac{4}{21} ). This matches the first choice, confirming it as the result of the calculation.

The other answers do not represent the outcome of this division. The fraction