Simplify 42/112 to Lowest Terms
42/112 simplified to its lowest terms is 3/8 (or 0.375 in decimal). See how to reduce 42/112 using Greatest Common Divisor (GCD = 14).
Exact Answer
42/112 = 3/8
Simplified Fraction
3/8
Mixed Number
Proper (3/8)
Decimal Value
0.375
Percentage
37.5%
Step-by-Step Solution: 42/112 = 3/8
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 112:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 112:
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD(42, 112) = 14
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 14. Divide both the numerator (42) and denominator (112) by 14.
42 ÷ 14/112 ÷ 14 = 3/8
Visual Representation
The diagram below illustrates Simplify 42/112 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/8 |
| Mixed Number Form | 3/8 |
| Decimal Form | 0.375 |
| Percentage | 37.5% |
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Frequently Asked Questions
What is 42/112 in simplest form?
42/112 simplified to lowest terms is 3/8.
What is the GCD (GCF) of 42 and 112?
The Greatest Common Divisor (GCD) of 42 and 112 is 14.
What are equivalent fractions to 42/112?
Equivalent fractions to 42/112 include 6/16, 9/24, and 12/32.