**Simplifying the Fraction: 62/24/5/4**

In this article, we will explore how to simplify the complex fraction 62/24/5/4 to its simplest form.

**Step 1: Understand the Fraction**

The given fraction is 62/24/5/4. To simplify this fraction, we need to understand the concept of a complex fraction. A complex fraction is a fraction that contains another fraction in the numerator, denominator, or both.

**Step 2: Simplify the Fraction**

To simplify the fraction, we will start by simplifying the numerator and denominator separately.

### Numerator: 62/24

The numerator is 62/24. We can simplify this fraction by dividing both numbers by their greatest common divisor (GCD).

The GCD of 62 and 24 is 2.

62 ÷ 2 = 31 24 ÷ 2 = 12

So, the simplified numerator is 31/12.

### Denominator: 5/4

The denominator is 5/4. This fraction is already in its simplest form.

**Step 3: Combine the Simplified Numerator and Denominator**

Now, we will combine the simplified numerator and denominator to get the final simplified fraction.

Fraction = 31/12 ÷ 5/4

To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.

Fraction = 31/12 × 4/5

Multiplying the numerators and denominators, we get:

Fraction = (31 × 4) / (12 × 5) Fraction = 124 / 60

**Step 4: Simplify the Final Fraction**

The final fraction is 124/60. We can simplify this fraction further by dividing both numbers by their GCD.

The GCD of 124 and 60 is 4.

124 ÷ 4 = 31 60 ÷ 4 = 15

So, the final simplified fraction is:

Fraction = 31/15

Therefore, the simplest form of the complex fraction 62/24/5/4 is **31/15**.