What is 144/90 Simplified? (Reduce 144/90 to Lowest Terms: 8/5)

Exact Answer

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Problem: Simplify 144/90 to Lowest Terms
Formula / Expression: 144/90 = 8/5
Final Answer: 1 3/5 (8/5)
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Step-by-Step Solution:

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 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Working: GCD(144, 90) = 18

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (144) and denominator (90) by 18.
Working: 144 ÷ 18/90 ÷ 18 = 8/5

Step 3: Convert Improper Fraction to a Mixed Number
Because 8 is larger than 5, 8/5 can also be written as the mixed number 1 3/5.
Working: 8/5 = 1 3/5

Key Values:
- Simplified Fraction: 8/5
- Mixed Number Form: 1 3/5
- Decimal Value: 1.6
- Percentage: 160%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-144-90/
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144/90 = 8/5

Simplified Fraction

8/5

Mixed Number

1 3/5

Decimal Value

1.6

Percentage

160%

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Step-by-Step Solution: 144/90 = 8/5

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 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

GCD(144, 90) = 18

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 18. Divide both the numerator (144) and denominator (90) by 18.

144 ÷ 18/90 ÷ 18 = 8/5

Step 3

Convert Improper Fraction to a Mixed Number

Because 8 is larger than 5, 8/5 can also be written as the mixed number 1 3/5.

8/5 = 13/5

Visual Representation

The diagram below illustrates Simplify 144/90 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`8/5`
Mixed Number Form	`1 3/5`
Decimal Form	`1.6`
Percentage	`160%`

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Frequently Asked Questions

What is 144/90 in simplest form?

144/90 simplified to lowest terms is 8/5.

What is the GCD (GCF) of 144 and 90?

The Greatest Common Divisor (GCD) of 144 and 90 is 18.

What are equivalent fractions to 144/90?

Equivalent fractions to 144/90 include 16/10, 24/15, and 32/20.