Simplify 42/60 to Lowest Terms
42/60 simplified to its lowest terms is 7/10 (or 0.7 in decimal). See how to reduce 42/60 using Greatest Common Divisor (GCD = 6).
Exact Answer
42/60 = 7/10
Simplified Fraction
7/10
Mixed Number
Proper (7/10)
Decimal Value
0.7
Percentage
70%
Step-by-Step Solution: 42/60 = 7/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 60:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
GCD(42, 60) = 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 (60) by 6.
42 ÷ 6/60 ÷ 6 = 7/10
Visual Representation
The diagram below illustrates Simplify 42/60 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/10 |
| Mixed Number Form | 7/10 |
| Decimal Form | 0.7 |
| Percentage | 70% |
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Frequently Asked Questions
What is 42/60 in simplest form?
42/60 simplified to lowest terms is 7/10.
What is the GCD (GCF) of 42 and 60?
The Greatest Common Divisor (GCD) of 42 and 60 is 6.
What are equivalent fractions to 42/60?
Equivalent fractions to 42/60 include 14/20, 21/30, and 28/40.