What is 42/180 Simplified? (Reduce 42/180 to Lowest Terms: 7/30)

Exact Answer

42/180 = 7/30

Simplified Fraction

7/30

Mixed Number

Proper (7/30)

Decimal Value

0.233333

Percentage

23.3333%

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Step-by-Step Solution: 42/180 = 7/30

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
• Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60

GCD(42, 180) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (42) and denominator (180) by 6.

42 ÷ 6/180 ÷ 6 = 7/30

Visual Representation

The diagram below illustrates Simplify 42/180 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`7/30`
Mixed Number Form	`7/30`
Decimal Form	`0.233333`
Percentage	`23.3333%`

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Frequently Asked Questions

What is 42/180 in simplest form?

42/180 simplified to lowest terms is 7/30.

What is the GCD (GCF) of 42 and 180?

The Greatest Common Divisor (GCD) of 42 and 180 is 6.

What are equivalent fractions to 42/180?

Equivalent fractions to 42/180 include 14/60, 21/90, and 28/120.