Simplify 58/240 to Lowest Terms
58/240 simplified to its lowest terms is 29/120 (or 0.241667 in decimal). See how to reduce 58/240 using Greatest Common Divisor (GCD = 2).
Exact Answer
58/240 = 29/120
Simplified Fraction
29/120
Mixed Number
Proper (29/120)
Decimal Value
0.241667
Percentage
24.1667%
Step-by-Step Solution: 58/240 = 29/120
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 58:
• Factors of 240:
• Factors of 58:
1, 2, 29, 58• Factors of 240:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48
GCD(58, 240) = 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 (240) by 2.
58 ÷ 2/240 ÷ 2 = 29/120
Visual Representation
The diagram below illustrates Simplify 58/240 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 29/120 |
| Mixed Number Form | 29/120 |
| Decimal Form | 0.241667 |
| Percentage | 24.1667% |
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Frequently Asked Questions
What is 58/240 in simplest form?
58/240 simplified to lowest terms is 29/120.
What is the GCD (GCF) of 58 and 240?
The Greatest Common Divisor (GCD) of 58 and 240 is 2.
What are equivalent fractions to 58/240?
Equivalent fractions to 58/240 include 58/240, 87/360, and 116/480.