Simplify 76/120 to Lowest Terms
76/120 simplified to its lowest terms is 19/30 (or 0.633333 in decimal). See how to reduce 76/120 using Greatest Common Divisor (GCD = 4).
Exact Answer
76/120 = 19/30
Simplified Fraction
19/30
Mixed Number
Proper (19/30)
Decimal Value
0.633333
Percentage
63.3333%
Step-by-Step Solution: 76/120 = 19/30
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 76:
• Factors of 120:
• Factors of 76:
1, 2, 4, 19, 38, 76• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(76, 120) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (76) and denominator (120) by 4.
76 ÷ 4/120 ÷ 4 = 19/30
Visual Representation
The diagram below illustrates Simplify 76/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 19/30 |
| Mixed Number Form | 19/30 |
| Decimal Form | 0.633333 |
| Percentage | 63.3333% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 76/120 in simplest form?
76/120 simplified to lowest terms is 19/30.
What is the GCD (GCF) of 76 and 120?
The Greatest Common Divisor (GCD) of 76 and 120 is 4.
What are equivalent fractions to 76/120?
Equivalent fractions to 76/120 include 38/60, 57/90, and 76/120.