Simplify 240/414 to Lowest Terms
240/414 simplified to its lowest terms is 40/69 (or 0.57971 in decimal). See how to reduce 240/414 using Greatest Common Divisor (GCD = 6).
Exact Answer
240/414 = 40/69
Simplified Fraction
40/69
Mixed Number
Proper (40/69)
Decimal Value
0.57971
Percentage
57.971%
Step-by-Step Solution: 240/414 = 40/69
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 240:
• Factors of 414:
• Factors of 240:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48• Factors of 414:
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
GCD(240, 414) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (240) and denominator (414) by 6.
240 ÷ 6/414 ÷ 6 = 40/69
Visual Representation
The diagram below illustrates Simplify 240/414 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 40/69 |
| Mixed Number Form | 40/69 |
| Decimal Form | 0.57971 |
| Percentage | 57.971% |
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Frequently Asked Questions
What is 240/414 in simplest form?
240/414 simplified to lowest terms is 40/69.
What is the GCD (GCF) of 240 and 414?
The Greatest Common Divisor (GCD) of 240 and 414 is 6.
What are equivalent fractions to 240/414?
Equivalent fractions to 240/414 include 80/138, 120/207, and 160/276.