What is 102/420 Simplified? (Reduce 102/420 to Lowest Terms: 17/70)

Exact Answer

102/420 = 17/70

Simplified Fraction

17/70

Mixed Number

Proper (17/70)

Decimal Value

0.242857

Percentage

24.2857%

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Step-by-Step Solution: 102/420 = 17/70

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 102: 1, 2, 3, 6, 17, 34, 51, 102
• Factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35

GCD(102, 420) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (102) and denominator (420) by 6.

102 ÷ 6/420 ÷ 6 = 17/70

Visual Representation

The diagram below illustrates Simplify 102/420 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`17/70`
Mixed Number Form	`17/70`
Decimal Form	`0.242857`
Percentage	`24.2857%`

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Frequently Asked Questions

What is 102/420 in simplest form?

102/420 simplified to lowest terms is 17/70.

What is the GCD (GCF) of 102 and 420?

The Greatest Common Divisor (GCD) of 102 and 420 is 6.

What are equivalent fractions to 102/420?

Equivalent fractions to 102/420 include 34/140, 51/210, and 68/280.