What is 342/1320 Simplified? (Reduce 342/1320 to Lowest Terms: 57/220)

Exact Answer

342/1320 = 57/220

Simplified Fraction

57/220

Mixed Number

Proper (57/220)

Decimal Value

0.259091

Percentage

25.9091%

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Step-by-Step Solution: 342/1320 = 57/220

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 342: 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
• Factors of 1320: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33

GCD(342, 1320) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (342) and denominator (1320) by 6.

342 ÷ 6/1320 ÷ 6 = 57/220

Visual Representation

The diagram below illustrates Simplify 342/1320 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`57/220`
Mixed Number Form	`57/220`
Decimal Form	`0.259091`
Percentage	`25.9091%`

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Frequently Asked Questions

What is 342/1320 in simplest form?

342/1320 simplified to lowest terms is 57/220.

What is the GCD (GCF) of 342 and 1320?

The Greatest Common Divisor (GCD) of 342 and 1320 is 6.

What are equivalent fractions to 342/1320?

Equivalent fractions to 342/1320 include 114/440, 171/660, and 228/880.