What is 74/164 Simplified? (Reduce 74/164 to Lowest Terms: 37/82)

Exact Answer

74/164 = 37/82

Simplified Fraction

37/82

Mixed Number

Proper (37/82)

Decimal Value

0.45122

Percentage

45.122%

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Step-by-Step Solution: 74/164 = 37/82

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 74: 1, 2, 37, 74
• Factors of 164: 1, 2, 4, 41, 82, 164

GCD(74, 164) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (74) and denominator (164) by 2.

74 ÷ 2/164 ÷ 2 = 37/82

Visual Representation

The diagram below illustrates Simplify 74/164 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`37/82`
Mixed Number Form	`37/82`
Decimal Form	`0.45122`
Percentage	`45.122%`

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Frequently Asked Questions

What is 74/164 in simplest form?

74/164 simplified to lowest terms is 37/82.

What is the GCD (GCF) of 74 and 164?

The Greatest Common Divisor (GCD) of 74 and 164 is 2.

What are equivalent fractions to 74/164?

Equivalent fractions to 74/164 include 74/164, 111/246, and 148/328.