Let's find $$ \frac{2}{5}-\frac{1}{3} $$ First write the subtraction with a common denominator. Then subtract. $$ \frac{2}{5}-\frac{1}{3}= $$

Question

UpStudy AI · Accepted Answer

Sure, let's subtract the fractions $$ \frac{2}{5} $$ and $$ \frac{1}{3} $$ step by step.

### Step 1: Find a Common Denominator

To subtract fractions, they must have the same denominator. The denominators here are 5 and 3.

- **Least Common Denominator (LCD):** The smallest number that both 5 and 3 divide into is 15.

### Step 2: Convert Each Fraction to the Common Denominator

We'll adjust each fraction so that both have the denominator of 15.

1. **Convert $$ \frac{2}{5} $$ to a denominator of 15:**
   $$
   \frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15}
   $$

2. **Convert $$ \frac{1}{3} $$ to a denominator of 15:**
   $$
   \frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15}
   $$

### Step 3: Subtract the Fractions

Now that both fractions have the same denominator, subtract the numerators:

$$
\frac{6}{15} - \frac{5}{15} = \frac{6 - 5}{15} = \frac{1}{15}
$$

### Final Answer

$$
\frac{2}{5} - \frac{1}{3} = \frac{1}{15}
$$
$$ \frac{2}{5} - \frac{1}{3} = \frac{1}{15} $$

Let's find \( \frac{2}{5}-\frac{1}{3} \) First write the subtraction with a common denominator. Then subtract. \( \frac{2}{5}-\frac{1}{3}= \)