4/5 divided by 2/5

Understand the Problem

The question is asking us to perform a division operation between two fractions, 4/5 and 2/5. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.

Answer

2
Answer for screen readers

The final answer is 2

Steps to Solve

  1. Reciprocal of the second fraction

To divide fractions, we first find the reciprocal of the second fraction. The reciprocal of ( \frac{2}{5} ) is ( \frac{5}{2} ).

  1. Multiplication of fractions

Now, multiply the first fraction by the reciprocal of the second fraction:

$$ \frac{4}{5} \times \frac{5}{2} $$

  1. Simplify the multiplication

Multiply the numerators and the denominators:

$$ \frac{4 \times 5}{5 \times 2} = \frac{20}{10} $$

  1. Simplify the result

Simplify the fraction ( \frac{20}{10} ) by dividing both the numerator and the denominator by their greatest common divisor:

$$ \frac{20}{10} = 2 $$

The final answer is 2

More Information

Division of fractions is often simplified by multiplying by the reciprocal. This approach maintains the equivalence of the mathematical operation and simplifies the problem.

Tips

A common mistake is to multiply the fractions directly without taking the reciprocal of the second fraction. Always remember to flip the second fraction before multiplying.

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