Simplify 90/288 to Lowest Terms
90/288 simplified to its lowest terms is 5/16 (or 0.3125 in decimal). See how to reduce 90/288 using Greatest Common Divisor (GCD = 18).
Exact Answer
90/288 = 5/16
Simplified Fraction
5/16
Mixed Number
Proper (5/16)
Decimal Value
0.3125
Percentage
31.25%
Step-by-Step Solution: 90/288 = 5/16
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 90:
• Factors of 288:
• Factors of 90:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
GCD(90, 288) = 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 (288) by 18.
90 ÷ 18/288 ÷ 18 = 5/16
Visual Representation
The diagram below illustrates Simplify 90/288 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/16 |
| Mixed Number Form | 5/16 |
| Decimal Form | 0.3125 |
| Percentage | 31.25% |
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Frequently Asked Questions
What is 90/288 in simplest form?
90/288 simplified to lowest terms is 5/16.
What is the GCD (GCF) of 90 and 288?
The Greatest Common Divisor (GCD) of 90 and 288 is 18.
What are equivalent fractions to 90/288?
Equivalent fractions to 90/288 include 10/32, 15/48, and 20/64.