what is 60 of 1400

Natashya

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25-12-2024

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What is 60/1400? Simplifying Fractions and Percentages

The question "What is 60/1400?" asks us to find the simplest representation of this fraction. This can be expressed as a simplified fraction, a decimal, or a percentage. Let's explore all three methods.

1. Simplifying the Fraction

The first step to understanding 60/1400 is to simplify the fraction. We do this by finding the greatest common divisor (GCD) of both the numerator (60) and the denominator (1400). The GCD is the largest number that divides both numbers evenly.

In this case, the GCD of 60 and 1400 is 20. We can divide both the numerator and the denominator by 20:

60 ÷ 20 = 3 1400 ÷ 20 = 70

Therefore, the simplified fraction is 3/70.

2. Converting to a Decimal

To convert the simplified fraction 3/70 to a decimal, we simply divide the numerator (3) by the denominator (70):

3 ÷ 70 ≈ 0.042857

So, 60/1400 is approximately 0.0429 (rounded to four decimal places).

3. Converting to a Percentage

Converting a decimal to a percentage is straightforward. We multiply the decimal by 100 and add a percentage sign:

0.042857 × 100 ≈ 4.29%

Therefore, 60/1400 is approximately 4.29%.

Summary: Different Representations of 60/1400

To recap, we've found three equivalent representations of the fraction 60/1400:

• Simplified Fraction: 3/70
• Decimal: Approximately 0.0429
• Percentage: Approximately 4.29%

The best way to represent 60/1400 depends on the context. For precise calculations, the fraction or decimal is preferred. For easier understanding in general contexts, the percentage is often more useful. Remember that the decimal and percentage are approximations due to rounding.