If \(\frac{4}{5} \times \text{blank} = \frac{2}{5}\), what is the blank?
Answer (3)
5 4 ⋅ x = 5 2 / ⋅ 5 5 1 ⋅ 5 1 4 ⋅ x = 5 1 ⋅ 5 1 2 4 x = 2 / : 4 x = 4 2 x = 2 1
5 4 ⋅ = 5 2 / ⋅ 4 5 4 1 5 1 ⋅ 5 1 4 1 ⋅ = 4 2 5 1 ⋅ 5 1 2 1 = 2 1
To solve 5 4 × blank = 5 2 , let the blank be x . Dividing both sides by 5 4 leads to x = 2 1 . Thus, the value of the blank is 2 1 .
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