Simplify 46/120 to Lowest Terms
46/120 simplified to its lowest terms is 23/60 (or 0.383333 in decimal). See how to reduce 46/120 using Greatest Common Divisor (GCD = 2).
Exact Answer
46/120 = 23/60
Simplified Fraction
23/60
Mixed Number
Proper (23/60)
Decimal Value
0.383333
Percentage
38.3333%
Step-by-Step Solution: 46/120 = 23/60
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 46:
• Factors of 120:
• Factors of 46:
1, 2, 23, 46• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(46, 120) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (46) and denominator (120) by 2.
46 ÷ 2/120 ÷ 2 = 23/60
Visual Representation
The diagram below illustrates Simplify 46/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 23/60 |
| Mixed Number Form | 23/60 |
| Decimal Form | 0.383333 |
| Percentage | 38.3333% |
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Frequently Asked Questions
What is 46/120 in simplest form?
46/120 simplified to lowest terms is 23/60.
What is the GCD (GCF) of 46 and 120?
The Greatest Common Divisor (GCD) of 46 and 120 is 2.
What are equivalent fractions to 46/120?
Equivalent fractions to 46/120 include 46/120, 69/180, and 92/240.