Simplify 74/120 to Lowest Terms
74/120 simplified to its lowest terms is 37/60 (or 0.616667 in decimal). See how to reduce 74/120 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/120 = 37/60
Simplified Fraction
37/60
Mixed Number
Proper (37/60)
Decimal Value
0.616667
Percentage
61.6667%
Step-by-Step Solution: 74/120 = 37/60
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 120:
• Factors of 74:
1, 2, 37, 74• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(74, 120) = 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 (120) by 2.
74 ÷ 2/120 ÷ 2 = 37/60
Visual Representation
The diagram below illustrates Simplify 74/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/60 |
| Mixed Number Form | 37/60 |
| Decimal Form | 0.616667 |
| Percentage | 61.6667% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 74/120 in simplest form?
74/120 simplified to lowest terms is 37/60.
What is the GCD (GCF) of 74 and 120?
The Greatest Common Divisor (GCD) of 74 and 120 is 2.
What are equivalent fractions to 74/120?
Equivalent fractions to 74/120 include 74/120, 111/180, and 148/240.