What is 144/196 Simplified? (Reduce 144/196 to Lowest Terms: 36/49)

Exact Answer

144/196 = 36/49

Simplified Fraction

36/49

Mixed Number

Proper (36/49)

Decimal Value

0.734694

Percentage

73.4694%

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Step-by-Step Solution: 144/196 = 36/49

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 196: 1, 2, 4, 7, 14, 28, 49, 98, 196

GCD(144, 196) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (144) and denominator (196) by 4.

144 ÷ 4/196 ÷ 4 = 36/49

Visual Representation

The diagram below illustrates Simplify 144/196 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`36/49`
Mixed Number Form	`36/49`
Decimal Form	`0.734694`
Percentage	`73.4694%`

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Frequently Asked Questions

What is 144/196 in simplest form?

144/196 simplified to lowest terms is 36/49.

What is the GCD (GCF) of 144 and 196?

The Greatest Common Divisor (GCD) of 144 and 196 is 4.

What are equivalent fractions to 144/196?

Equivalent fractions to 144/196 include 72/98, 108/147, and 144/196.