Simplify 258/240 to Lowest Terms
258/240 simplified to its lowest terms is 43/40 (or 1.075 in decimal). See how to reduce 258/240 using Greatest Common Divisor (GCD = 6).
Exact Answer
258/240 = 43/40
Simplified Fraction
43/40
Mixed Number
1 3/40
Decimal Value
1.075
Percentage
107.5%
Step-by-Step Solution: 258/240 = 43/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 258:
• Factors of 240:
• Factors of 258:
1, 2, 3, 6, 43, 86, 129, 258• Factors of 240:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48
GCD(258, 240) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (258) and denominator (240) by 6.
258 ÷ 6/240 ÷ 6 = 43/40
Step 3
Convert Improper Fraction to a Mixed Number
Because 43 is larger than 40, 43/40 can also be written as the mixed number 1 3/40.
43/40 = 13/40
Visual Representation
The diagram below illustrates Simplify 258/240 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 43/40 |
| Mixed Number Form | 1 3/40 |
| Decimal Form | 1.075 |
| Percentage | 107.5% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 258/240 in simplest form?
258/240 simplified to lowest terms is 43/40.
What is the GCD (GCF) of 258 and 240?
The Greatest Common Divisor (GCD) of 258 and 240 is 6.
What are equivalent fractions to 258/240?
Equivalent fractions to 258/240 include 86/80, 129/120, and 172/160.