what is 15 of 72

Natashya

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22-12-2024

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What is 15/72? Simplifying Fractions and Finding the Decimal Equivalent

The question "What is 15/72?" asks us to find the simplest form of the fraction 15/72 and potentially its decimal equivalent. Let's break down how to solve this.

Simplifying the Fraction 15/72

To simplify a fraction, we need to find the greatest common divisor (GCD) of both the numerator (15) and the denominator (72). The GCD is the largest number that divides both numbers without leaving a remainder.

1. Find the factors of 15: 1, 3, 5, 15
2. Find the factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Notice that the largest number that appears in both lists is 3. Therefore, the GCD of 15 and 72 is 3.

Now, we divide both the numerator and the denominator by the GCD:

15 ÷ 3 = 5 72 ÷ 3 = 24

This simplifies the fraction 15/72 to 5/24. This is the simplest form because 5 and 24 share no common factors other than 1.

Converting the Fraction to a Decimal

To convert the simplified fraction 5/24 to a decimal, we perform the division:

5 ÷ 24 ≈ 0.208333...

The decimal representation of 5/24 is approximately 0.2083. The 3s repeat infinitely, so we often round it to a certain number of decimal places depending on the required level of precision.

Summary: What is 15/72?

In conclusion:

• Simplified Fraction: 15/72 simplifies to 5/24.
• Decimal Equivalent: 5/24 is approximately equal to 0.2083.

This process demonstrates how to simplify fractions and convert them into decimal form. Remember, finding the greatest common divisor is key to simplifying fractions to their lowest terms.