What is 138/420 Simplified? (Reduce 138/420 to Lowest Terms: 23/70)

Exact Answer

138/420 = 23/70

Simplified Fraction

23/70

Mixed Number

Proper (23/70)

Decimal Value

0.328571

Percentage

32.8571%

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Step-by-Step Solution: 138/420 = 23/70

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 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35

GCD(138, 420) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (138) and denominator (420) by 6.

138 ÷ 6/420 ÷ 6 = 23/70

Visual Representation

The diagram below illustrates Simplify 138/420 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/70`
Mixed Number Form	`23/70`
Decimal Form	`0.328571`
Percentage	`32.8571%`

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Frequently Asked Questions

What is 138/420 in simplest form?

138/420 simplified to lowest terms is 23/70.

What is the GCD (GCF) of 138 and 420?

The Greatest Common Divisor (GCD) of 138 and 420 is 6.

What are equivalent fractions to 138/420?

Equivalent fractions to 138/420 include 46/140, 69/210, and 92/280.