(4) $$ 1 \frac{2}{5} imes \square=\frac{1}{5} $$

Question

(4) $$ 1 \frac{2}{5} 	imes \square=\frac{1}{5} $$

UpStudy AI · Accepted Answer

To solve the equation $$ 1 \frac{2}{5} \times \square = \frac{1}{5} $$, we first convert the mixed number $$ 1 \frac{2}{5} $$ into an improper fraction.

1. Convert $$ 1 \frac{2}{5} $$:
   $$
   1 \frac{2}{5} = \frac{5 \times 1 + 2}{5} = \frac{5 + 2}{5} = \frac{7}{5}
   $$

2. Now, we rewrite the equation:
   $$
   \frac{7}{5} \times \square = \frac{1}{5}
   $$

3. To isolate $$ \square $$, we can divide both sides by $$ \frac{7}{5} $$:
   $$
   \square = \frac{1}{5} \div \frac{7}{5}
   $$

4. Dividing by a fraction is the same as multiplying by its reciprocal:
   $$
   \square = \frac{1}{5} \times \frac{5}{7}
   $$

5. Now, we can simplify:
   $$
   \square = \frac{1 \times 5}{5 \times 7} = \frac{5}{35} = \frac{1}{7}
   $$

Thus, the value of $$ \square $$ is $$ \frac{1}{7} $$.
The value of $$ \square $$ is $$ \frac{1}{7} $$.

(4) \( 1 \frac{2}{5} \times \square=\frac{1}{5} \)

Upstudy AI Solution

Answer

Solution

The Deep Dive

Related Questions

Latest Pre Algebra Questions