Simplify 34/120 to Lowest Terms
34/120 simplified to its lowest terms is 17/60 (or 0.283333 in decimal). See how to reduce 34/120 using Greatest Common Divisor (GCD = 2).
Exact Answer
34/120 = 17/60
Simplified Fraction
17/60
Mixed Number
Proper (17/60)
Decimal Value
0.283333
Percentage
28.3333%
Step-by-Step Solution: 34/120 = 17/60
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 34:
• Factors of 120:
• Factors of 34:
1, 2, 17, 34• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(34, 120) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (34) and denominator (120) by 2.
34 ÷ 2/120 ÷ 2 = 17/60
Visual Representation
The diagram below illustrates Simplify 34/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 17/60 |
| Mixed Number Form | 17/60 |
| Decimal Form | 0.283333 |
| Percentage | 28.3333% |
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Frequently Asked Questions
What is 34/120 in simplest form?
34/120 simplified to lowest terms is 17/60.
What is the GCD (GCF) of 34 and 120?
The Greatest Common Divisor (GCD) of 34 and 120 is 2.
What are equivalent fractions to 34/120?
Equivalent fractions to 34/120 include 34/120, 51/180, and 68/240.