Questions: Add 3/4 + 3/4. Simplify the answer and write as a mixed number.

Add 3/4 + 3/4. Simplify the answer and write as a mixed number.
Transcript text: Add $\frac{3}{4}+\frac{3}{4}$. Simplify the answer and write as a mixed number.
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Solution

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Solution Steps

To add the fractions \(\frac{3}{4} + \frac{3}{4}\), we first add the numerators since the denominators are the same. This gives us \(\frac{6}{4}\). We then simplify \(\frac{6}{4}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2, resulting in \(\frac{3}{2}\). Finally, we convert \(\frac{3}{2}\) into a mixed number, which is \(1 \frac{1}{2}\).

Step 1: Add the Fractions

We start with the addition of the fractions: \[ \frac{3}{4} + \frac{3}{4} = \frac{3 + 3}{4} = \frac{6}{4} \]

Step 2: Simplify the Fraction

Next, we simplify \(\frac{6}{4}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2: \[ \frac{6}{4} = \frac{6 \div 2}{4 \div 2} = \frac{3}{2} \]

Step 3: Convert to Mixed Number

Now, we convert \(\frac{3}{2}\) into a mixed number. The whole number part is obtained by dividing the numerator by the denominator: \[ 3 \div 2 = 1 \quad \text{(whole number)} \] The remainder is: \[ 3 \mod 2 = 1 \] Thus, we can express \(\frac{3}{2}\) as: \[ 1 \frac{1}{2} \]

Final Answer

The answer is \(\boxed{1 \frac{1}{2}}\).

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