Simplify 58/120 to Lowest Terms
58/120 simplified to its lowest terms is 29/60 (or 0.483333 in decimal). See how to reduce 58/120 using Greatest Common Divisor (GCD = 2).
Exact Answer
58/120 = 29/60
Simplified Fraction
29/60
Mixed Number
Proper (29/60)
Decimal Value
0.483333
Percentage
48.3333%
Step-by-Step Solution: 58/120 = 29/60
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 58:
• Factors of 120:
• Factors of 58:
1, 2, 29, 58• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(58, 120) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (58) and denominator (120) by 2.
58 ÷ 2/120 ÷ 2 = 29/60
Visual Representation
The diagram below illustrates Simplify 58/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 29/60 |
| Mixed Number Form | 29/60 |
| Decimal Form | 0.483333 |
| Percentage | 48.3333% |
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Frequently Asked Questions
What is 58/120 in simplest form?
58/120 simplified to lowest terms is 29/60.
What is the GCD (GCF) of 58 and 120?
The Greatest Common Divisor (GCD) of 58 and 120 is 2.
What are equivalent fractions to 58/120?
Equivalent fractions to 58/120 include 58/120, 87/180, and 116/240.