Simplify 36/42 to Lowest Terms
36/42 simplified to its lowest terms is 6/7 (or 0.857143 in decimal). See how to reduce 36/42 using Greatest Common Divisor (GCD = 6).
Exact Answer
36/42 = 6/7
Simplified Fraction
6/7
Mixed Number
Proper (6/7)
Decimal Value
0.857143
Percentage
85.7143%
Step-by-Step Solution: 36/42 = 6/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 36:
• Factors of 42:
• Factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
GCD(36, 42) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (36) and denominator (42) by 6.
36 ÷ 6/42 ÷ 6 = 6/7
Visual Representation
The diagram below illustrates Simplify 36/42 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 6/7 |
| Mixed Number Form | 6/7 |
| Decimal Form | 0.857143 |
| Percentage | 85.7143% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 36/42 in simplest form?
36/42 simplified to lowest terms is 6/7.
What is the GCD (GCF) of 36 and 42?
The Greatest Common Divisor (GCD) of 36 and 42 is 6.
What are equivalent fractions to 36/42?
Equivalent fractions to 36/42 include 12/14, 18/21, and 24/28.