What is 174/720 Simplified? (Reduce 174/720 to Lowest Terms: 29/120)

Exact Answer

174/720 = 29/120

Simplified Fraction

29/120

Mixed Number

Proper (29/120)

Decimal Value

0.241667

Percentage

24.1667%

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Step-by-Step Solution: 174/720 = 29/120

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 174: 1, 2, 3, 6, 29, 58, 87, 174
• Factors of 720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30

GCD(174, 720) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (174) and denominator (720) by 6.

174 ÷ 6/720 ÷ 6 = 29/120

Visual Representation

The diagram below illustrates Simplify 174/720 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`29/120`
Mixed Number Form	`29/120`
Decimal Form	`0.241667`
Percentage	`24.1667%`

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Frequently Asked Questions

What is 174/720 in simplest form?

174/720 simplified to lowest terms is 29/120.

What is the GCD (GCF) of 174 and 720?

The Greatest Common Divisor (GCD) of 174 and 720 is 6.

What are equivalent fractions to 174/720?

Equivalent fractions to 174/720 include 58/240, 87/360, and 116/480.