Simplify 96/74 to Lowest Terms
96/74 simplified to its lowest terms is 48/37 (or 1.297297 in decimal). See how to reduce 96/74 using Greatest Common Divisor (GCD = 2).
Exact Answer
96/74 = 48/37
Simplified Fraction
48/37
Mixed Number
1 11/37
Decimal Value
1.297297
Percentage
129.7297%
Step-by-Step Solution: 96/74 = 48/37
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 96:
• Factors of 74:
• Factors of 96:
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96• Factors of 74:
1, 2, 37, 74
GCD(96, 74) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (96) and denominator (74) by 2.
96 ÷ 2/74 ÷ 2 = 48/37
Step 3
Convert Improper Fraction to a Mixed Number
Because 48 is larger than 37, 48/37 can also be written as the mixed number 1 11/37.
48/37 = 111/37
Visual Representation
The diagram below illustrates Simplify 96/74 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 48/37 |
| Mixed Number Form | 1 11/37 |
| Decimal Form | 1.297297 |
| Percentage | 129.7297% |
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Frequently Asked Questions
What is 96/74 in simplest form?
96/74 simplified to lowest terms is 48/37.
What is the GCD (GCF) of 96 and 74?
The Greatest Common Divisor (GCD) of 96 and 74 is 2.
What are equivalent fractions to 96/74?
Equivalent fractions to 96/74 include 96/74, 144/111, and 192/148.