Simplify 42/120 to Lowest Terms
42/120 simplified to its lowest terms is 7/20 (or 0.35 in decimal). See how to reduce 42/120 using Greatest Common Divisor (GCD = 6).
Exact Answer
42/120 = 7/20
Simplified Fraction
7/20
Mixed Number
Proper (7/20)
Decimal Value
0.35
Percentage
35%
Step-by-Step Solution: 42/120 = 7/20
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 120:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(42, 120) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (42) and denominator (120) by 6.
42 ÷ 6/120 ÷ 6 = 7/20
Visual Representation
The diagram below illustrates Simplify 42/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/20 |
| Mixed Number Form | 7/20 |
| Decimal Form | 0.35 |
| Percentage | 35% |
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Frequently Asked Questions
What is 42/120 in simplest form?
42/120 simplified to lowest terms is 7/20.
What is the GCD (GCF) of 42 and 120?
The Greatest Common Divisor (GCD) of 42 and 120 is 6.
What are equivalent fractions to 42/120?
Equivalent fractions to 42/120 include 14/40, 21/60, and 28/80.