.275 as fraction

This podcast demonstrates how to convert the decimal 0.275 into a fraction. The process involves writing the decimal over 1, eliminating the decimal by multiplying the numerator and denominator by 1000, and simplifying the resulting fraction by dividing both by 25 to arrive at the reduced fraction 11/40. The process emphasizes the step-by-step method of converting decimal numbers to fractions.

Converting Decimal to Fraction

• 00:00:04 The process of converting 0.275 to a fraction begins by writing the decimal over 1, creating a fraction. Then, to remove the decimal, the numerator and denominator are multiplied by 1000, resulting in 275/1000. This fraction is subsequently simplified by dividing both the numerator and denominator by their greatest common divisor, which is 25.

Fraction Simplification

• 00:00:49 The fraction 275/1000 is reduced to its simplest form by dividing both the numerator and denominator by 25. This yields the simplified fraction 11/40. As 11 is a prime number and 40 is not divisible by 11, this fraction cannot be further simplified. The demonstration illustrates the importance of finding the greatest common divisor to simplify fractions effectively.