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when this number is multiplied by 1/3 the product is 1 2/5

Sagot :

Answer:

Step-by-step explanation:

To find the number that, when multiplied by frac{1}{3}, gives the product 1 frac{2}{5}

, we can follow these steps:

1. **Convert the mixed number to an improper fraction:**

   1 frac{2}{5} = frac{7}{5}

2. **Set up the equation:**

  Let the number be  x .

  frac{1}{3} times x = frac{7}{5}

3. **Solve for  x :**

  Multiply both sides of the equation by 3 to isolate  x :

   x = frac{7}{5} times 3

   x = frac{7 times 3}{5}

   x = frac{21}{5}

4. **Convert the improper fraction back to a mixed number optional:**

  frac{21}{5} = 4 frac{1}{5}

Therefore, the number is frac{21}{5}\ or 4 frac{1}{5}.