what is 15 of 375

Natashya

2 min read

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27-12-2024

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Knowing how to solve fractional problems like "What is 15/375?" is a fundamental math skill. This article will guide you through calculating this fraction, simplifying it to its lowest terms, and expressing it as a percentage. We'll also explore the broader concept of simplifying fractions and its applications.

Calculating 15/375

The question "What is 15/375?" asks us to find the value of the fraction 15/375. This can be calculated through division:

15 ÷ 375 = 0.04

Therefore, 15/375 is equal to 0.04.

Simplifying the Fraction 15/375

While 0.04 is the decimal equivalent, it's often useful to simplify the fraction to its lowest terms. This means finding the greatest common divisor (GCD) of both the numerator (15) and the denominator (375) and dividing both by it.

Let's find the GCD of 15 and 375. One way is to list the factors of each number:

• Factors of 15: 1, 3, 5, 15
• Factors of 375: 1, 3, 5, 15, 25, 75, 125, 375

The greatest common factor is 15.

Now, divide both the numerator and the denominator by 15:

15 ÷ 15 = 1 375 ÷ 15 = 25

The simplified fraction is therefore 1/25.

Expressing 15/375 as a Percentage

To express the fraction as a percentage, we can use the decimal equivalent (0.04) or the simplified fraction (1/25).

Using the decimal: 0.04 x 100% = 4%

Using the fraction: (1/25) x 100% = 4%

Therefore, 15/375 is equal to 4%.

Understanding Fraction Simplification

Simplifying fractions is crucial for several reasons:

• Clarity: Simplified fractions are easier to understand and work with. 1/25 is much clearer than 15/375.
• Efficiency: Simplified fractions make calculations simpler and reduce the risk of errors.
• Comparisons: It's easier to compare fractions when they are in their simplest form.

Real-World Applications

Understanding fractions and percentages has many practical applications in everyday life:

• Shopping: Calculating discounts, sales tax, or comparing prices.
• Cooking: Following recipes that use fractional measurements.
• Finance: Calculating interest rates, loan payments, or budgeting.
• Science: Representing experimental data and proportions.

In conclusion, 15/375 equals 0.04, simplifies to 1/25, and is equivalent to 4%. Mastering fraction simplification improves your mathematical skills and is invaluable for solving various real-world problems.