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}.
