Simplify 24/42 to Lowest Terms
24/42 simplified to its lowest terms is 4/7 (or 0.571429 in decimal). See how to reduce 24/42 using Greatest Common Divisor (GCD = 6).
Exact Answer
24/42 = 4/7
Simplified Fraction
4/7
Mixed Number
Proper (4/7)
Decimal Value
0.571429
Percentage
57.1429%
Step-by-Step Solution: 24/42 = 4/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 24:
• Factors of 42:
• Factors of 24:
1, 2, 3, 4, 6, 8, 12, 24• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
GCD(24, 42) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (24) and denominator (42) by 6.
24 ÷ 6/42 ÷ 6 = 4/7
Visual Representation
The diagram below illustrates Simplify 24/42 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/7 |
| Mixed Number Form | 4/7 |
| Decimal Form | 0.571429 |
| Percentage | 57.1429% |
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Frequently Asked Questions
What is 24/42 in simplest form?
24/42 simplified to lowest terms is 4/7.
What is the GCD (GCF) of 24 and 42?
The Greatest Common Divisor (GCD) of 24 and 42 is 6.
What are equivalent fractions to 24/42?
Equivalent fractions to 24/42 include 8/14, 12/21, and 16/28.