Simplify 112/74 to Lowest Terms
112/74 simplified to its lowest terms is 56/37 (or 1.513514 in decimal). See how to reduce 112/74 using Greatest Common Divisor (GCD = 2).
Exact Answer
112/74 = 56/37
Simplified Fraction
56/37
Mixed Number
1 19/37
Decimal Value
1.513514
Percentage
151.3514%
Step-by-Step Solution: 112/74 = 56/37
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 112:
• Factors of 74:
• Factors of 112:
1, 2, 4, 7, 8, 14, 16, 28, 56, 112• Factors of 74:
1, 2, 37, 74
GCD(112, 74) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (112) and denominator (74) by 2.
112 ÷ 2/74 ÷ 2 = 56/37
Step 3
Convert Improper Fraction to a Mixed Number
Because 56 is larger than 37, 56/37 can also be written as the mixed number 1 19/37.
56/37 = 119/37
Visual Representation
The diagram below illustrates Simplify 112/74 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 56/37 |
| Mixed Number Form | 1 19/37 |
| Decimal Form | 1.513514 |
| Percentage | 151.3514% |
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Frequently Asked Questions
What is 112/74 in simplest form?
112/74 simplified to lowest terms is 56/37.
What is the GCD (GCF) of 112 and 74?
The Greatest Common Divisor (GCD) of 112 and 74 is 2.
What are equivalent fractions to 112/74?
Equivalent fractions to 112/74 include 112/74, 168/111, and 224/148.