Questions: Subtract. 2/5 - 3/4 Write your answer in simplest form.

Transcript text: Subtract. \[ \frac{2}{5}-\frac{3}{4} \] Write your answer in simplest form.

Solution

Solution Steps

Step 1: Identify the Fractions

We start with the fractions: \[ \frac{2}{5} \quad \text{and} \quad \frac{3}{4} \]

Step 2: Find a Common Denominator

To subtract these fractions, we need a common denominator. The least common multiple (LCM) of 5 and 4 is 20.

Step 3: Convert Fractions to Common Denominator

Convert each fraction to have the common denominator of 20: \[ \frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20} \] \[ \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \]

Step 4: Subtract the Fractions

Now subtract the numerators while keeping the common denominator: \[ \frac{8}{20} - \frac{15}{20} = \frac{8 - 15}{20} = \frac{-7}{20} \]

Final Answer

The result in simplest form is: \[ \boxed{\frac{-7}{20}} \]

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