What is the value of $$ \frac{3}{4}+\frac{5}{12} ? $$

Question

UpStudy AI · Accepted Answer

To find the value of $$ \frac{3}{4} + \frac{5}{12} $$, follow these steps:

### 1. **Find a Common Denominator**
To add two fractions, they must have the same denominator.

- The denominators here are 4 and 12.
- The **Least Common Multiple (LCM)** of 4 and 12 is **12**.

### 2. **Convert Fractions to Have the Common Denominator**
- **Convert** $$ \frac{3}{4} $$ to a fraction with denominator 12:
  $$
  \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12}
  $$
- **Convert** $$ \frac{5}{12} $$ (already has the denominator 12):
  $$
  \frac{5}{12} = \frac{5}{12}
  $$

### 3. **Add the Fractions**
Now that both fractions have the same denominator, you can add them:
$$
\frac{9}{12} + \frac{5}{12} = \frac{9 + 5}{12} = \frac{14}{12}
$$

### 4. **Simplify the Result**
- **Simplify** $$ \frac{14}{12} $$ by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
  $$
  \frac{14 \div 2}{12 \div 2} = \frac{7}{6}
  $$
- **Convert** $$ \frac{7}{6} $$ to a mixed number:
  $$
  \frac{7}{6} = 1 \frac{1}{6}
  $$

### **Final Answer**
$$
\frac{3}{4} + \frac{5}{12} = \frac{7}{6} \quad \text{or} \quad 1 \frac{1}{6}
$$
$$ \frac{3}{4} + \frac{5}{12} = \frac{7}{6} \quad \text{or} \quad 1 \frac{1}{6} $$

What is the value of

Upstudy AI Solution

Answer

Solution

The Deep Dive

Related Questions

Latest Arithmetic Questions