What is 1420/3360 Simplified? (Reduce 1420/3360 to Lowest Terms: 71/168)

Exact Answer

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Problem: Simplify 1420/3360 to Lowest Terms
Formula / Expression: 1420/3360 = 71/168
Final Answer: 71/168
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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 1420: 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420
• Factors of 3360: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24
Working: GCD(1420, 3360) = 20

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1420) and denominator (3360) by 20.
Working: 1420 ÷ 20/3360 ÷ 20 = 71/168

Key Values:
- Simplified Fraction: 71/168
- Mixed Number Form: 71/168
- Decimal Value: 0.422619
- Percentage: 42.2619%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1420-3360/
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1420/3360 = 71/168

Simplified Fraction

71/168

Mixed Number

Proper (71/168)

Decimal Value

0.422619

Percentage

42.2619%

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Step-by-Step Solution: 1420/3360 = 71/168

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1420: 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420
• Factors of 3360: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24

GCD(1420, 3360) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1420) and denominator (3360) by 20.

1420 ÷ 20/3360 ÷ 20 = 71/168

Visual Representation

The diagram below illustrates Simplify 1420/3360 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`71/168`
Mixed Number Form	`71/168`
Decimal Form	`0.422619`
Percentage	`42.2619%`

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Frequently Asked Questions

What is 1420/3360 in simplest form?

1420/3360 simplified to lowest terms is 71/168.

What is the GCD (GCF) of 1420 and 3360?

The Greatest Common Divisor (GCD) of 1420 and 3360 is 20.

What are equivalent fractions to 1420/3360?

Equivalent fractions to 1420/3360 include 142/336, 213/504, and 284/672.