what is 15 of 48

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19-12-2024

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What is 15 out of 48? Understanding Fractions, Percentages, and Decimals

The question "What is 15 out of 48?" asks us to express the relationship between 15 and 48. This can be represented in several ways: as a fraction, a decimal, and a percentage. Let's explore each method.

1. Expressing it as a Fraction

The simplest way to represent 15 out of 48 is as a fraction: 15/48. This means 15 parts out of a total of 48 parts.

However, this fraction can be simplified. Both 15 and 48 are divisible by 3. Dividing both the numerator (15) and the denominator (48) by 3 gives us:

5/16

This is the simplified fraction representing 15 out of 48.

2. Converting to a Decimal

To convert the fraction 5/16 to a decimal, we divide the numerator (5) by the denominator (16):

5 ÷ 16 = 0.3125

3. Converting to a Percentage

To express 15 out of 48 as a percentage, we can use the decimal we just calculated. Multiply the decimal by 100:

0.3125 x 100 = 31.25%

Therefore, 15 out of 48 is equal to 31.25%.

In Summary: Different Representations of 15 out of 48

• Fraction: 5/16 (simplified from 15/48)
• Decimal: 0.3125
• Percentage: 31.25%

Each of these representations conveys the same information: the relationship between the part (15) and the whole (48). The choice of which representation to use depends on the context. Fractions are useful for showing the exact ratio, decimals are often preferred in calculations, and percentages are great for comparing proportions and understanding relative sizes.