What is 1440/3150 Simplified? (Reduce 1440/3150 to Lowest Terms: 16/35)

Exact Answer

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Problem: Simplify 1440/3150 to Lowest Terms
Formula / Expression: 1440/3150 = 16/35
Final Answer: 16/35
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 3150: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42
Working: GCD(1440, 3150) = 90

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 90. Divide both the numerator (1440) and denominator (3150) by 90.
Working: 1440 ÷ 90/3150 ÷ 90 = 16/35

Key Values:
- Simplified Fraction: 16/35
- Mixed Number Form: 16/35
- Decimal Value: 0.457143
- Percentage: 45.7143%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1440-3150/
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1440/3150 = 16/35

Simplified Fraction

16/35

Mixed Number

Proper (16/35)

Decimal Value

0.457143

Percentage

45.7143%

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Step-by-Step Solution: 1440/3150 = 16/35

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 3150: 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42

GCD(1440, 3150) = 90

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 90. Divide both the numerator (1440) and denominator (3150) by 90.

1440 ÷ 90/3150 ÷ 90 = 16/35

Visual Representation

The diagram below illustrates Simplify 1440/3150 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`16/35`
Mixed Number Form	`16/35`
Decimal Form	`0.457143`
Percentage	`45.7143%`

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Frequently Asked Questions

What is 1440/3150 in simplest form?

1440/3150 simplified to lowest terms is 16/35.

What is the GCD (GCF) of 1440 and 3150?

The Greatest Common Divisor (GCD) of 1440 and 3150 is 90.

What are equivalent fractions to 1440/3150?

Equivalent fractions to 1440/3150 include 32/70, 48/105, and 64/140.