**62/24 as a Fraction: Simplification and Equivalent Ratios**

### What is 62/24 as a Fraction?

The fraction 62/24 represents a ratio of 62 units to 24 units. In this article, we will explore how to simplify this fraction and find its equivalent ratios.

### Simplifying 62/24

To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator (62) and the denominator (24). The GCD of 62 and 24 is 2.

**Step 1:** Divide both the numerator and the denominator by the GCD (2):

62 ÷ 2 = 31 24 ÷ 2 = 12

**Result:** The simplified fraction is 31/12.

### Equivalent Ratios

Equivalent ratios are fractions that have the same value as the original fraction but with different numbers. We can find equivalent ratios by multiplying or dividing both the numerator and the denominator by the same number.

**Example 1:** Multiplying both numerator and denominator by 2:

31 × 2 = 62 12 × 2 = 24

**Result:** The equivalent ratio is 62/24, which is the original fraction.

**Example 2:** Dividing both numerator and denominator by 2:

31 ÷ 2 = 15.5 12 ÷ 2 = 6

**Result:** The equivalent ratio is 15.5/6.

In conclusion, the fraction 62/24 can be simplified to 31/12, and it has equivalent ratios such as 62/24 and 15.5/6. These equivalent ratios can be useful in various mathematical applications, including algebra, geometry, and trigonometry.