Simplify 90/120 to Lowest Terms
90/120 simplified to its lowest terms is 3/4 (or 0.75 in decimal). See how to reduce 90/120 using Greatest Common Divisor (GCD = 30).
Exact Answer
90/120 = 3/4
Simplified Fraction
3/4
Mixed Number
Proper (3/4)
Decimal Value
0.75
Percentage
75%
Step-by-Step Solution: 90/120 = 3/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 90:
• Factors of 120:
• Factors of 90:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(90, 120) = 30
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (90) and denominator (120) by 30.
90 ÷ 30/120 ÷ 30 = 3/4
Visual Representation
The diagram below illustrates Simplify 90/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/4 |
| Mixed Number Form | 3/4 |
| Decimal Form | 0.75 |
| Percentage | 75% |
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Frequently Asked Questions
What is 90/120 in simplest form?
90/120 simplified to lowest terms is 3/4.
What is the GCD (GCF) of 90 and 120?
The Greatest Common Divisor (GCD) of 90 and 120 is 30.
What are equivalent fractions to 90/120?
Equivalent fractions to 90/120 include 6/8, 9/12, and 12/16.