Simplify 90/144 to Lowest Terms
90/144 simplified to its lowest terms is 5/8 (or 0.625 in decimal). See how to reduce 90/144 using Greatest Common Divisor (GCD = 18).
Exact Answer
90/144 = 5/8
Simplified Fraction
5/8
Mixed Number
Proper (5/8)
Decimal Value
0.625
Percentage
62.5%
Step-by-Step Solution: 90/144 = 5/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 90:
• Factors of 144:
• Factors of 90:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90• Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD(90, 144) = 18
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (90) and denominator (144) by 18.
90 ÷ 18/144 ÷ 18 = 5/8
Visual Representation
The diagram below illustrates Simplify 90/144 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/8 |
| Mixed Number Form | 5/8 |
| Decimal Form | 0.625 |
| Percentage | 62.5% |
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Frequently Asked Questions
What is 90/144 in simplest form?
90/144 simplified to lowest terms is 5/8.
What is the GCD (GCF) of 90 and 144?
The Greatest Common Divisor (GCD) of 90 and 144 is 18.
What are equivalent fractions to 90/144?
Equivalent fractions to 90/144 include 10/16, 15/24, and 20/32.