What is 138/320 Simplified? (Reduce 138/320 to Lowest Terms: 69/160)

Exact Answer

138/320 = 69/160

Simplified Fraction

69/160

Mixed Number

Proper (69/160)

Decimal Value

0.43125

Percentage

43.125%

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Step-by-Step Solution: 138/320 = 69/160

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 138: 1, 2, 3, 6, 23, 46, 69, 138
• Factors of 320: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD(138, 320) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (138) and denominator (320) by 2.

138 ÷ 2/320 ÷ 2 = 69/160

Visual Representation

The diagram below illustrates Simplify 138/320 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`69/160`
Mixed Number Form	`69/160`
Decimal Form	`0.43125`
Percentage	`43.125%`

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Frequently Asked Questions

What is 138/320 in simplest form?

138/320 simplified to lowest terms is 69/160.

What is the GCD (GCF) of 138 and 320?

The Greatest Common Divisor (GCD) of 138 and 320 is 2.

What are equivalent fractions to 138/320?

Equivalent fractions to 138/320 include 138/320, 207/480, and 276/640.