What is 1580/3480 Simplified? (Reduce 1580/3480 to Lowest Terms: 79/174)

Exact Answer

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Problem: Simplify 1580/3480 to Lowest Terms
Formula / Expression: 1580/3480 = 79/174
Final Answer: 79/174
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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 1580: 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580
• Factors of 3480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58
Working: GCD(1580, 3480) = 20

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1580) and denominator (3480) by 20.
Working: 1580 ÷ 20/3480 ÷ 20 = 79/174

Key Values:
- Simplified Fraction: 79/174
- Mixed Number Form: 79/174
- Decimal Value: 0.454023
- Percentage: 45.4023%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1580-3480/
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1580/3480 = 79/174

Simplified Fraction

79/174

Mixed Number

Proper (79/174)

Decimal Value

0.454023

Percentage

45.4023%

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Step-by-Step Solution: 1580/3480 = 79/174

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1580: 1, 2, 4, 5, 10, 20, 79, 158, 316, 395, 790, 1580
• Factors of 3480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58

GCD(1580, 3480) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1580) and denominator (3480) by 20.

1580 ÷ 20/3480 ÷ 20 = 79/174

Visual Representation

The diagram below illustrates Simplify 1580/3480 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`79/174`
Mixed Number Form	`79/174`
Decimal Form	`0.454023`
Percentage	`45.4023%`

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Frequently Asked Questions

What is 1580/3480 in simplest form?

1580/3480 simplified to lowest terms is 79/174.

What is the GCD (GCF) of 1580 and 3480?

The Greatest Common Divisor (GCD) of 1580 and 3480 is 20.

What are equivalent fractions to 1580/3480?

Equivalent fractions to 1580/3480 include 158/348, 237/522, and 316/696.