Simplify 32/120 to Lowest Terms
32/120 simplified to its lowest terms is 4/15 (or 0.266667 in decimal). See how to reduce 32/120 using Greatest Common Divisor (GCD = 8).
Exact Answer
32/120 = 4/15
Simplified Fraction
4/15
Mixed Number
Proper (4/15)
Decimal Value
0.266667
Percentage
26.6667%
Step-by-Step Solution: 32/120 = 4/15
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 32:
• Factors of 120:
• Factors of 32:
1, 2, 4, 8, 16, 32• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(32, 120) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (32) and denominator (120) by 8.
32 ÷ 8/120 ÷ 8 = 4/15
Visual Representation
The diagram below illustrates Simplify 32/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/15 |
| Mixed Number Form | 4/15 |
| Decimal Form | 0.266667 |
| Percentage | 26.6667% |
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Frequently Asked Questions
What is 32/120 in simplest form?
32/120 simplified to lowest terms is 4/15.
What is the GCD (GCF) of 32 and 120?
The Greatest Common Divisor (GCD) of 32 and 120 is 8.
What are equivalent fractions to 32/120?
Equivalent fractions to 32/120 include 8/30, 12/45, and 16/60.