Simplify 74/240 to Lowest Terms
74/240 simplified to its lowest terms is 37/120 (or 0.308333 in decimal). See how to reduce 74/240 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/240 = 37/120
Simplified Fraction
37/120
Mixed Number
Proper (37/120)
Decimal Value
0.308333
Percentage
30.8333%
Step-by-Step Solution: 74/240 = 37/120
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 240:
• Factors of 74:
1, 2, 37, 74• Factors of 240:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48
GCD(74, 240) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (74) and denominator (240) by 2.
74 ÷ 2/240 ÷ 2 = 37/120
Visual Representation
The diagram below illustrates Simplify 74/240 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/120 |
| Mixed Number Form | 37/120 |
| Decimal Form | 0.308333 |
| Percentage | 30.8333% |
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Frequently Asked Questions
What is 74/240 in simplest form?
74/240 simplified to lowest terms is 37/120.
What is the GCD (GCF) of 74 and 240?
The Greatest Common Divisor (GCD) of 74 and 240 is 2.
What are equivalent fractions to 74/240?
Equivalent fractions to 74/240 include 74/240, 111/360, and 148/480.