What is 198/420 Simplified? (Reduce 198/420 to Lowest Terms: 33/70)

Exact Answer

198/420 = 33/70

Simplified Fraction

33/70

Mixed Number

Proper (33/70)

Decimal Value

0.471429

Percentage

47.1429%

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Step-by-Step Solution: 198/420 = 33/70

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
• Factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35

GCD(198, 420) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (198) and denominator (420) by 6.

198 ÷ 6/420 ÷ 6 = 33/70

Visual Representation

The diagram below illustrates Simplify 198/420 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`33/70`
Mixed Number Form	`33/70`
Decimal Form	`0.471429`
Percentage	`47.1429%`

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Frequently Asked Questions

What is 198/420 in simplest form?

198/420 simplified to lowest terms is 33/70.

What is the GCD (GCF) of 198 and 420?

The Greatest Common Divisor (GCD) of 198 and 420 is 6.

What are equivalent fractions to 198/420?

Equivalent fractions to 198/420 include 66/140, 99/210, and 132/280.