Simplify 90/360 to Lowest Terms
90/360 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 90/360 using Greatest Common Divisor (GCD = 90).
Exact Answer
90/360 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 90/360 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 90:
• Factors of 360:
• Factors of 90:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90• Factors of 360:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36
GCD(90, 360) = 90
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 90. Divide both the numerator (90) and denominator (360) by 90.
90 ÷ 90/360 ÷ 90 = 1/4
Visual Representation
The diagram below illustrates Simplify 90/360 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/4 |
| Mixed Number Form | 1/4 |
| Decimal Form | 0.25 |
| Percentage | 25% |
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Frequently Asked Questions
What is 90/360 in simplest form?
90/360 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 90 and 360?
The Greatest Common Divisor (GCD) of 90 and 360 is 90.
What are equivalent fractions to 90/360?
Equivalent fractions to 90/360 include 2/8, 3/12, and 4/16.