Find the value of 125^⅓.

To find the value of 125 ⅓, we need to convert the mixed number into an improper fraction or a decimal.

Converting to an Improper Fraction

A mixed number consists of a whole number and a fraction. Here, 125 is the whole number and ⅓ is the fraction. To convert it:

• Multiply the whole number (125) by the denominator (3): 125 × 3 = 375.
• Add the numerator (1) to this result: 375 + 1 = 376.
• Place this sum over the original denominator: 376/3.

Final Result as an Improper Fraction

The value of 125 ⅓ as an improper fraction is 376/3.

Converting to Decimal

If you prefer a decimal, divide 376 by 3:

• 376 ÷ 3 = 125.3333...

Final Result as a Decimal

The decimal representation of 125 ⅓ is approximately 125.33.

In summary, 125 ⅓ can be expressed as 376/3 or approximately 125.33.