Simplify 56/240 to Lowest Terms
56/240 simplified to its lowest terms is 7/30 (or 0.233333 in decimal). See how to reduce 56/240 using Greatest Common Divisor (GCD = 8).
Exact Answer
56/240 = 7/30
Simplified Fraction
7/30
Mixed Number
Proper (7/30)
Decimal Value
0.233333
Percentage
23.3333%
Step-by-Step Solution: 56/240 = 7/30
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 56:
• Factors of 240:
• Factors of 56:
1, 2, 4, 7, 8, 14, 28, 56• Factors of 240:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48
GCD(56, 240) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (56) and denominator (240) by 8.
56 ÷ 8/240 ÷ 8 = 7/30
Visual Representation
The diagram below illustrates Simplify 56/240 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/30 |
| Mixed Number Form | 7/30 |
| Decimal Form | 0.233333 |
| Percentage | 23.3333% |
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Frequently Asked Questions
What is 56/240 in simplest form?
56/240 simplified to lowest terms is 7/30.
What is the GCD (GCF) of 56 and 240?
The Greatest Common Divisor (GCD) of 56 and 240 is 8.
What are equivalent fractions to 56/240?
Equivalent fractions to 56/240 include 14/60, 21/90, and 28/120.