Simplify 68/120 to Lowest Terms
68/120 simplified to its lowest terms is 17/30 (or 0.566667 in decimal). See how to reduce 68/120 using Greatest Common Divisor (GCD = 4).
Exact Answer
68/120 = 17/30
Simplified Fraction
17/30
Mixed Number
Proper (17/30)
Decimal Value
0.566667
Percentage
56.6667%
Step-by-Step Solution: 68/120 = 17/30
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 68:
• Factors of 120:
• Factors of 68:
1, 2, 4, 17, 34, 68• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(68, 120) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (68) and denominator (120) by 4.
68 ÷ 4/120 ÷ 4 = 17/30
Visual Representation
The diagram below illustrates Simplify 68/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 17/30 |
| Mixed Number Form | 17/30 |
| Decimal Form | 0.566667 |
| Percentage | 56.6667% |
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Frequently Asked Questions
What is 68/120 in simplest form?
68/120 simplified to lowest terms is 17/30.
What is the GCD (GCF) of 68 and 120?
The Greatest Common Divisor (GCD) of 68 and 120 is 4.
What are equivalent fractions to 68/120?
Equivalent fractions to 68/120 include 34/60, 51/90, and 68/120.