What is 310/1320 Simplified? (Reduce 310/1320 to Lowest Terms: 31/132)

Exact Answer

310/1320 = 31/132

Simplified Fraction

31/132

Mixed Number

Proper (31/132)

Decimal Value

0.234848

Percentage

23.4848%

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Step-by-Step Solution: 310/1320 = 31/132

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 310: 1, 2, 5, 10, 31, 62, 155, 310
• Factors of 1320: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33

GCD(310, 1320) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (310) and denominator (1320) by 10.

310 ÷ 10/1320 ÷ 10 = 31/132

Visual Representation

The diagram below illustrates Simplify 310/1320 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`31/132`
Mixed Number Form	`31/132`
Decimal Form	`0.234848`
Percentage	`23.4848%`

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Frequently Asked Questions

What is 310/1320 in simplest form?

310/1320 simplified to lowest terms is 31/132.

What is the GCD (GCF) of 310 and 1320?

The Greatest Common Divisor (GCD) of 310 and 1320 is 10.

What are equivalent fractions to 310/1320?

Equivalent fractions to 310/1320 include 62/264, 93/396, and 124/528.